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Finding the Fourth Proportional to 22,520.70, 31,076.06 and 12,446.60

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Solution

The fourth proportional to 22,520.70, 31,076.06 and 12,446.60 is: 17,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.70 : 31,076.06 = 12,446.60 : x
  2. Step 2: Convert to fraction form
    22,520.70/31,076.06 = 12,446.60/x
  3. Step 3: Cross multiply
    22,520.70x = 31,076.06 × 12,446.60
  4. Step 4: Simplify right side
    22,520.70x = 386,791,070.78
  5. Step 5: Solve for x
    x = 386,791,070.78/22,520.70
  6. Step 6: Final answer
    x = 17,174.91

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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.