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Finding the Fourth Proportional to 38,791.80, 58,101.30 and 31,879.80

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Solution

The fourth proportional to 38,791.80, 58,101.30 and 31,879.80 is: 47,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.80 : 58,101.30 = 31,879.80 : x
  2. Step 2: Convert to fraction form
    38,791.80/58,101.30 = 31,879.80/x
  3. Step 3: Cross multiply
    38,791.80x = 58,101.30 × 31,879.80
  4. Step 4: Simplify right side
    38,791.80x = 1,852,257,823.74
  5. Step 5: Solve for x
    x = 1,852,257,823.74/38,791.80
  6. Step 6: Final answer
    x = 47,748.69

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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.