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Finding the Fourth Proportional to 20,462.92, 30,694.80 and 6,422.66

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Solution

The fourth proportional to 20,462.92, 30,694.80 and 6,422.66 is: 9,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.92 : 30,694.80 = 6,422.66 : x
  2. Step 2: Convert to fraction form
    20,462.92/30,694.80 = 6,422.66/x
  3. Step 3: Cross multiply
    20,462.92x = 30,694.80 × 6,422.66
  4. Step 4: Simplify right side
    20,462.92x = 197,142,264.17
  5. Step 5: Solve for x
    x = 197,142,264.17/20,462.92
  6. Step 6: Final answer
    x = 9,634.12

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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.