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Finding the Fourth Proportional to 20,695.26, 31,042.90 and 12,377.70

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Solution

The fourth proportional to 20,695.26, 31,042.90 and 12,377.70 is: 18,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.26 : 31,042.90 = 12,377.70 : x
  2. Step 2: Convert to fraction form
    20,695.26/31,042.90 = 12,377.70/x
  3. Step 3: Cross multiply
    20,695.26x = 31,042.90 × 12,377.70
  4. Step 4: Simplify right side
    20,695.26x = 384,239,703.33
  5. Step 5: Solve for x
    x = 384,239,703.33/20,695.26
  6. Step 6: Final answer
    x = 18,566.56

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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.