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Finding the Fourth Proportional to 20,592.81, 30,891.24 and 7,442.10

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Solution

The fourth proportional to 20,592.81, 30,891.24 and 7,442.10 is: 11,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.81 : 30,891.24 = 7,442.10 : x
  2. Step 2: Convert to fraction form
    20,592.81/30,891.24 = 7,442.10/x
  3. Step 3: Cross multiply
    20,592.81x = 30,891.24 × 7,442.10
  4. Step 4: Simplify right side
    20,592.81x = 229,895,697.20
  5. Step 5: Solve for x
    x = 229,895,697.20/20,592.81
  6. Step 6: Final answer
    x = 11,163.88

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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.