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Finding the Fourth Proportional to 38,691.85, 58,169 and 30,893.98

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Solution

The fourth proportional to 38,691.85, 58,169 and 30,893.98 is: 46,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,691.85 : 58,169 = 30,893.98 : x
  2. Step 2: Convert to fraction form
    38,691.85/58,169 = 30,893.98/x
  3. Step 3: Cross multiply
    38,691.85x = 58,169 × 30,893.98
  4. Step 4: Simplify right side
    38,691.85x = 1,797,071,922.62
  5. Step 5: Solve for x
    x = 1,797,071,922.62/38,691.85
  6. Step 6: Final answer
    x = 46,445.75

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1.5x scale

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.