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Finding the Fourth Proportional to 20,117.31, 30,186 and 9,031.92

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Solution

The fourth proportional to 20,117.31, 30,186 and 9,031.92 is: 13,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.31 : 30,186 = 9,031.92 : x
  2. Step 2: Convert to fraction form
    20,117.31/30,186 = 9,031.92/x
  3. Step 3: Cross multiply
    20,117.31x = 30,186 × 9,031.92
  4. Step 4: Simplify right side
    20,117.31x = 272,637,537.12
  5. Step 5: Solve for x
    x = 272,637,537.12/20,117.31
  6. Step 6: Final answer
    x = 13,552.39

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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.