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Finding the Fourth Proportional to 22,451.76, 30,983.32 and 12,380.32

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Solution

The fourth proportional to 22,451.76, 30,983.32 and 12,380.32 is: 17,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.76 : 30,983.32 = 12,380.32 : x
  2. Step 2: Convert to fraction form
    22,451.76/30,983.32 = 12,380.32/x
  3. Step 3: Cross multiply
    22,451.76x = 30,983.32 × 12,380.32
  4. Step 4: Simplify right side
    22,451.76x = 383,583,416.26
  5. Step 5: Solve for x
    x = 383,583,416.26/22,451.76
  6. Step 6: Final answer
    x = 17,084.78

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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.