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Finding the Fourth Proportional to 31,725, 47,590.20 and 8,351.51

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Solution

The fourth proportional to 31,725, 47,590.20 and 8,351.51 is: 12,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725 : 47,590.20 = 8,351.51 : x
  2. Step 2: Convert to fraction form
    31,725/47,590.20 = 8,351.51/x
  3. Step 3: Cross multiply
    31,725x = 47,590.20 × 8,351.51
  4. Step 4: Simplify right side
    31,725x = 397,449,793.25
  5. Step 5: Solve for x
    x = 397,449,793.25/31,725
  6. Step 6: Final answer
    x = 12,527.97

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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.