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Finding the Fourth Proportional to 8,091.90, 12,124.49 and 3,699.68

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Solution

The fourth proportional to 8,091.90, 12,124.49 and 3,699.68 is: 5,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.90 : 12,124.49 = 3,699.68 : x
  2. Step 2: Convert to fraction form
    8,091.90/12,124.49 = 3,699.68/x
  3. Step 3: Cross multiply
    8,091.90x = 12,124.49 × 3,699.68
  4. Step 4: Simplify right side
    8,091.90x = 44,856,654.04
  5. Step 5: Solve for x
    x = 44,856,654.04/8,091.90
  6. Step 6: Final answer
    x = 5,543.40

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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.