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Finding the Fourth Proportional to 12,702.25, 17,531.13 and 7,399.99

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Solution

The fourth proportional to 12,702.25, 17,531.13 and 7,399.99 is: 10,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.25 : 17,531.13 = 7,399.99 : x
  2. Step 2: Convert to fraction form
    12,702.25/17,531.13 = 7,399.99/x
  3. Step 3: Cross multiply
    12,702.25x = 17,531.13 × 7,399.99
  4. Step 4: Simplify right side
    12,702.25x = 129,730,186.69
  5. Step 5: Solve for x
    x = 129,730,186.69/12,702.25
  6. Step 6: Final answer
    x = 10,213.17

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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.