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Finding the Fourth Proportional to 20,972.84, 31,470.19 and 8,502.08

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Solution

The fourth proportional to 20,972.84, 31,470.19 and 8,502.08 is: 12,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.84 : 31,470.19 = 8,502.08 : x
  2. Step 2: Convert to fraction form
    20,972.84/31,470.19 = 8,502.08/x
  3. Step 3: Cross multiply
    20,972.84x = 31,470.19 × 8,502.08
  4. Step 4: Simplify right side
    20,972.84x = 267,562,073.00
  5. Step 5: Solve for x
    x = 267,562,073.00/20,972.84
  6. Step 6: Final answer
    x = 12,757.55

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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.