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Finding the Fourth Proportional to 12,751.25, 17,591.81 and 9,402.02

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Solution

The fourth proportional to 12,751.25, 17,591.81 and 9,402.02 is: 12,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.25 : 17,591.81 = 9,402.02 : x
  2. Step 2: Convert to fraction form
    12,751.25/17,591.81 = 9,402.02/x
  3. Step 3: Cross multiply
    12,751.25x = 17,591.81 × 9,402.02
  4. Step 4: Simplify right side
    12,751.25x = 165,398,414.49
  5. Step 5: Solve for x
    x = 165,398,414.49/12,751.25
  6. Step 6: Final answer
    x = 12,971.16

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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.