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Finding the Fourth Proportional to 20,462.30, 30,660.64 and 18,494

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Solution

The fourth proportional to 20,462.30, 30,660.64 and 18,494 is: 27,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.30 : 30,660.64 = 18,494 : x
  2. Step 2: Convert to fraction form
    20,462.30/30,660.64 = 18,494/x
  3. Step 3: Cross multiply
    20,462.30x = 30,660.64 × 18,494
  4. Step 4: Simplify right side
    20,462.30x = 567,037,876.16
  5. Step 5: Solve for x
    x = 567,037,876.16/20,462.30
  6. Step 6: Final answer
    x = 27,711.35

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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.