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Finding the Fourth Proportional to 20,414.16, 30,592 and 11,630.92

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Solution

The fourth proportional to 20,414.16, 30,592 and 11,630.92 is: 17,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.16 : 30,592 = 11,630.92 : x
  2. Step 2: Convert to fraction form
    20,414.16/30,592 = 11,630.92/x
  3. Step 3: Cross multiply
    20,414.16x = 30,592 × 11,630.92
  4. Step 4: Simplify right side
    20,414.16x = 355,813,104.64
  5. Step 5: Solve for x
    x = 355,813,104.64/20,414.16
  6. Step 6: Final answer
    x = 17,429.72

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1.5x scale

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.