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Finding the Fourth Proportional to 21,002, 31,503.12 and 5,418.56

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Solution

The fourth proportional to 21,002, 31,503.12 and 5,418.56 is: 8,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002 : 31,503.12 = 5,418.56 : x
  2. Step 2: Convert to fraction form
    21,002/31,503.12 = 5,418.56/x
  3. Step 3: Cross multiply
    21,002x = 31,503.12 × 5,418.56
  4. Step 4: Simplify right side
    21,002x = 170,701,545.91
  5. Step 5: Solve for x
    x = 170,701,545.91/21,002
  6. Step 6: Final answer
    x = 8,127.87

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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.