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Finding the Fourth Proportional to 21,502.66, 32,259.96 and 9,019.74

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Solution

The fourth proportional to 21,502.66, 32,259.96 and 9,019.74 is: 13,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.66 : 32,259.96 = 9,019.74 : x
  2. Step 2: Convert to fraction form
    21,502.66/32,259.96 = 9,019.74/x
  3. Step 3: Cross multiply
    21,502.66x = 32,259.96 × 9,019.74
  4. Step 4: Simplify right side
    21,502.66x = 290,976,451.61
  5. Step 5: Solve for x
    x = 290,976,451.61/21,502.66
  6. Step 6: Final answer
    x = 13,532.11

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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.