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Finding the Fourth Proportional to 22,451.64, 30,982.80 and 12,380.08

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Solution

The fourth proportional to 22,451.64, 30,982.80 and 12,380.08 is: 17,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.64 : 30,982.80 = 12,380.08 : x
  2. Step 2: Convert to fraction form
    22,451.64/30,982.80 = 12,380.08/x
  3. Step 3: Cross multiply
    22,451.64x = 30,982.80 × 12,380.08
  4. Step 4: Simplify right side
    22,451.64x = 383,569,542.62
  5. Step 5: Solve for x
    x = 383,569,542.62/22,451.64
  6. Step 6: Final answer
    x = 17,084.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.