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Finding the Fourth Proportional to 21,640.92, 32,474.07 and 9,160.17

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Solution

The fourth proportional to 21,640.92, 32,474.07 and 9,160.17 is: 13,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.92 : 32,474.07 = 9,160.17 : x
  2. Step 2: Convert to fraction form
    21,640.92/32,474.07 = 9,160.17/x
  3. Step 3: Cross multiply
    21,640.92x = 32,474.07 × 9,160.17
  4. Step 4: Simplify right side
    21,640.92x = 297,468,001.79
  5. Step 5: Solve for x
    x = 297,468,001.79/21,640.92
  6. Step 6: Final answer
    x = 13,745.63

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1.5x scale

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.