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Finding the Fourth Proportional to 20,000.10, 29,980.25 and 9,451.44

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Solution

The fourth proportional to 20,000.10, 29,980.25 and 9,451.44 is: 14,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.10 : 29,980.25 = 9,451.44 : x
  2. Step 2: Convert to fraction form
    20,000.10/29,980.25 = 9,451.44/x
  3. Step 3: Cross multiply
    20,000.10x = 29,980.25 × 9,451.44
  4. Step 4: Simplify right side
    20,000.10x = 283,356,534.06
  5. Step 5: Solve for x
    x = 283,356,534.06/20,000.10
  6. Step 6: Final answer
    x = 14,167.76

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.