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Finding the Fourth Proportional to 13,608.92, 20,402.04 and 9,457

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Solution

The fourth proportional to 13,608.92, 20,402.04 and 9,457 is: 14,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.92 : 20,402.04 = 9,457 : x
  2. Step 2: Convert to fraction form
    13,608.92/20,402.04 = 9,457/x
  3. Step 3: Cross multiply
    13,608.92x = 20,402.04 × 9,457
  4. Step 4: Simplify right side
    13,608.92x = 192,942,092.28
  5. Step 5: Solve for x
    x = 192,942,092.28/13,608.92
  6. Step 6: Final answer
    x = 14,177.62

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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.