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Finding the Fourth Proportional to 21,655.89, 32,470.47 and 8,502.30

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Solution

The fourth proportional to 21,655.89, 32,470.47 and 8,502.30 is: 12,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.89 : 32,470.47 = 8,502.30 : x
  2. Step 2: Convert to fraction form
    21,655.89/32,470.47 = 8,502.30/x
  3. Step 3: Cross multiply
    21,655.89x = 32,470.47 × 8,502.30
  4. Step 4: Simplify right side
    21,655.89x = 276,073,677.08
  5. Step 5: Solve for x
    x = 276,073,677.08/21,655.89
  6. Step 6: Final answer
    x = 12,748.20

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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.