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Finding the Fourth Proportional to 21,502.76, 32,257.92 and 9,817.16

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Solution

The fourth proportional to 21,502.76, 32,257.92 and 9,817.16 is: 14,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.76 : 32,257.92 = 9,817.16 : x
  2. Step 2: Convert to fraction form
    21,502.76/32,257.92 = 9,817.16/x
  3. Step 3: Cross multiply
    21,502.76x = 32,257.92 × 9,817.16
  4. Step 4: Simplify right side
    21,502.76x = 316,681,161.91
  5. Step 5: Solve for x
    x = 316,681,161.91/21,502.76
  6. Step 6: Final answer
    x = 14,727.47

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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.