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Finding the Fourth Proportional to 8,691.65, 13,041.86 and 3,430.43

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Solution

The fourth proportional to 8,691.65, 13,041.86 and 3,430.43 is: 5,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.65 : 13,041.86 = 3,430.43 : x
  2. Step 2: Convert to fraction form
    8,691.65/13,041.86 = 3,430.43/x
  3. Step 3: Cross multiply
    8,691.65x = 13,041.86 × 3,430.43
  4. Step 4: Simplify right side
    8,691.65x = 44,739,105.44
  5. Step 5: Solve for x
    x = 44,739,105.44/8,691.65
  6. Step 6: Final answer
    x = 5,147.37

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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.