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Finding the Fourth Proportional to 8,391.80, 12,590.34 and 3,463.76

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Solution

The fourth proportional to 8,391.80, 12,590.34 and 3,463.76 is: 5,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.80 : 12,590.34 = 3,463.76 : x
  2. Step 2: Convert to fraction form
    8,391.80/12,590.34 = 3,463.76/x
  3. Step 3: Cross multiply
    8,391.80x = 12,590.34 × 3,463.76
  4. Step 4: Simplify right side
    8,391.80x = 43,609,934.57
  5. Step 5: Solve for x
    x = 43,609,934.57/8,391.80
  6. Step 6: Final answer
    x = 5,196.73

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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.