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Finding the Fourth Proportional to 20,728.91, 31,098.08 and 7,581.29

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Solution

The fourth proportional to 20,728.91, 31,098.08 and 7,581.29 is: 11,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.91 : 31,098.08 = 7,581.29 : x
  2. Step 2: Convert to fraction form
    20,728.91/31,098.08 = 7,581.29/x
  3. Step 3: Cross multiply
    20,728.91x = 31,098.08 × 7,581.29
  4. Step 4: Simplify right side
    20,728.91x = 235,763,426.39
  5. Step 5: Solve for x
    x = 235,763,426.39/20,728.91
  6. Step 6: Final answer
    x = 11,373.65

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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.