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Finding the Fourth Proportional to 31,714.60, 43,766.04 and 18,285.78

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Solution

The fourth proportional to 31,714.60, 43,766.04 and 18,285.78 is: 25,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.60 : 43,766.04 = 18,285.78 : x
  2. Step 2: Convert to fraction form
    31,714.60/43,766.04 = 18,285.78/x
  3. Step 3: Cross multiply
    31,714.60x = 43,766.04 × 18,285.78
  4. Step 4: Simplify right side
    31,714.60x = 800,296,178.91
  5. Step 5: Solve for x
    x = 800,296,178.91/31,714.60
  6. Step 6: Final answer
    x = 25,234.31

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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.