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Finding the Fourth Proportional to 12,397.52, 17,102.24 and 7,916.56

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Solution

The fourth proportional to 12,397.52, 17,102.24 and 7,916.56 is: 10,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.52 : 17,102.24 = 7,916.56 : x
  2. Step 2: Convert to fraction form
    12,397.52/17,102.24 = 7,916.56/x
  3. Step 3: Cross multiply
    12,397.52x = 17,102.24 × 7,916.56
  4. Step 4: Simplify right side
    12,397.52x = 135,390,909.09
  5. Step 5: Solve for x
    x = 135,390,909.09/12,397.52
  6. Step 6: Final answer
    x = 10,920.81

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1.5x scale

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.