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Finding the Fourth Proportional to 9,906.61, 14,878.42 and 8,721.07

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Solution

The fourth proportional to 9,906.61, 14,878.42 and 8,721.07 is: 13,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.61 : 14,878.42 = 8,721.07 : x
  2. Step 2: Convert to fraction form
    9,906.61/14,878.42 = 8,721.07/x
  3. Step 3: Cross multiply
    9,906.61x = 14,878.42 × 8,721.07
  4. Step 4: Simplify right side
    9,906.61x = 129,755,742.31
  5. Step 5: Solve for x
    x = 129,755,742.31/9,906.61
  6. Step 6: Final answer
    x = 13,097.90

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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.