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Finding the Fourth Proportional to 20,356.66, 30,542.68 and 7,877.44

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Solution

The fourth proportional to 20,356.66, 30,542.68 and 7,877.44 is: 11,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.66 : 30,542.68 = 7,877.44 : x
  2. Step 2: Convert to fraction form
    20,356.66/30,542.68 = 7,877.44/x
  3. Step 3: Cross multiply
    20,356.66x = 30,542.68 × 7,877.44
  4. Step 4: Simplify right side
    20,356.66x = 240,598,129.14
  5. Step 5: Solve for x
    x = 240,598,129.14/20,356.66
  6. Step 6: Final answer
    x = 11,819.14

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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.