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Finding the Fourth Proportional to 14,778.34, 20,394.61 and 8,064.34

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Solution

The fourth proportional to 14,778.34, 20,394.61 and 8,064.34 is: 11,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.34 : 20,394.61 = 8,064.34 : x
  2. Step 2: Convert to fraction form
    14,778.34/20,394.61 = 8,064.34/x
  3. Step 3: Cross multiply
    14,778.34x = 20,394.61 × 8,064.34
  4. Step 4: Simplify right side
    14,778.34x = 164,469,045.41
  5. Step 5: Solve for x
    x = 164,469,045.41/14,778.34
  6. Step 6: Final answer
    x = 11,129.06

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.