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Finding the Fourth Proportional to 9,419.97, 14,129.96 and 6,839.31

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Solution

The fourth proportional to 9,419.97, 14,129.96 and 6,839.31 is: 10,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.97 : 14,129.96 = 6,839.31 : x
  2. Step 2: Convert to fraction form
    9,419.97/14,129.96 = 6,839.31/x
  3. Step 3: Cross multiply
    9,419.97x = 14,129.96 × 6,839.31
  4. Step 4: Simplify right side
    9,419.97x = 96,639,176.73
  5. Step 5: Solve for x
    x = 96,639,176.73/9,419.97
  6. Step 6: Final answer
    x = 10,258.97

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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.