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Finding the Fourth Proportional to 23,115.80, 31,899.80 and 12,505.44

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Solution

The fourth proportional to 23,115.80, 31,899.80 and 12,505.44 is: 17,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.80 : 31,899.80 = 12,505.44 : x
  2. Step 2: Convert to fraction form
    23,115.80/31,899.80 = 12,505.44/x
  3. Step 3: Cross multiply
    23,115.80x = 31,899.80 × 12,505.44
  4. Step 4: Simplify right side
    23,115.80x = 398,921,034.91
  5. Step 5: Solve for x
    x = 398,921,034.91/23,115.80
  6. Step 6: Final answer
    x = 17,257.51

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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.