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Finding the Fourth Proportional to 2,000.52, 3,000.83 and 830.52

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Solution

The fourth proportional to 2,000.52, 3,000.83 and 830.52 is: 1,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.52 : 3,000.83 = 830.52 : x
  2. Step 2: Convert to fraction form
    2,000.52/3,000.83 = 830.52/x
  3. Step 3: Cross multiply
    2,000.52x = 3,000.83 × 830.52
  4. Step 4: Simplify right side
    2,000.52x = 2,492,245.18
  5. Step 5: Solve for x
    x = 2,492,245.18/2,000.52
  6. Step 6: Final answer
    x = 1,245.80

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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.