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Finding the Fourth Proportional to 20,581.14, 30,871.10 and 8,092.16

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Solution

The fourth proportional to 20,581.14, 30,871.10 and 8,092.16 is: 12,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.14 : 30,871.10 = 8,092.16 : x
  2. Step 2: Convert to fraction form
    20,581.14/30,871.10 = 8,092.16/x
  3. Step 3: Cross multiply
    20,581.14x = 30,871.10 × 8,092.16
  4. Step 4: Simplify right side
    20,581.14x = 249,813,685.76
  5. Step 5: Solve for x
    x = 249,813,685.76/20,581.14
  6. Step 6: Final answer
    x = 12,137.99

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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.