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Finding the Fourth Proportional to 20,881.92, 31,301.76 and 7,731.84

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Solution

The fourth proportional to 20,881.92, 31,301.76 and 7,731.84 is: 11,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.92 : 31,301.76 = 7,731.84 : x
  2. Step 2: Convert to fraction form
    20,881.92/31,301.76 = 7,731.84/x
  3. Step 3: Cross multiply
    20,881.92x = 31,301.76 × 7,731.84
  4. Step 4: Simplify right side
    20,881.92x = 242,020,200.04
  5. Step 5: Solve for x
    x = 242,020,200.04/20,881.92
  6. Step 6: Final answer
    x = 11,589.94

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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.