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Finding the Fourth Proportional to 9,687, 14,532.66 and 3,531

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Solution

The fourth proportional to 9,687, 14,532.66 and 3,531 is: 5,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 14,532.66 = 3,531 : x
  2. Step 2: Convert to fraction form
    9,687/14,532.66 = 3,531/x
  3. Step 3: Cross multiply
    9,687x = 14,532.66 × 3,531
  4. Step 4: Simplify right side
    9,687x = 51,314,822.46
  5. Step 5: Solve for x
    x = 51,314,822.46/9,687
  6. Step 6: Final answer
    x = 5,297.29

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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.