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Finding the Fourth Proportional to 20,384.84, 30,562.67 and 8,691.68

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Solution

The fourth proportional to 20,384.84, 30,562.67 and 8,691.68 is: 13,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.84 : 30,562.67 = 8,691.68 : x
  2. Step 2: Convert to fraction form
    20,384.84/30,562.67 = 8,691.68/x
  3. Step 3: Cross multiply
    20,384.84x = 30,562.67 × 8,691.68
  4. Step 4: Simplify right side
    20,384.84x = 265,640,751.31
  5. Step 5: Solve for x
    x = 265,640,751.31/20,384.84
  6. Step 6: Final answer
    x = 13,031.29

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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.