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Finding the Fourth Proportional to 21,000.38, 31,501.17 and 5,418

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Solution

The fourth proportional to 21,000.38, 31,501.17 and 5,418 is: 8,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.38 : 31,501.17 = 5,418 : x
  2. Step 2: Convert to fraction form
    21,000.38/31,501.17 = 5,418/x
  3. Step 3: Cross multiply
    21,000.38x = 31,501.17 × 5,418
  4. Step 4: Simplify right side
    21,000.38x = 170,673,339.06
  5. Step 5: Solve for x
    x = 170,673,339.06/21,000.38
  6. Step 6: Final answer
    x = 8,127.16

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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.