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Finding the Fourth Proportional to 20,159.92, 30,239.90 and 7,677

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Solution

The fourth proportional to 20,159.92, 30,239.90 and 7,677 is: 11,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.92 : 30,239.90 = 7,677 : x
  2. Step 2: Convert to fraction form
    20,159.92/30,239.90 = 7,677/x
  3. Step 3: Cross multiply
    20,159.92x = 30,239.90 × 7,677
  4. Step 4: Simplify right side
    20,159.92x = 232,151,712.30
  5. Step 5: Solve for x
    x = 232,151,712.30/20,159.92
  6. Step 6: Final answer
    x = 11,515.51

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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.