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Finding the Fourth Proportional to 8,719.62, 13,069.68 and 3,449.76

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Solution

The fourth proportional to 8,719.62, 13,069.68 and 3,449.76 is: 5,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.62 : 13,069.68 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    8,719.62/13,069.68 = 3,449.76/x
  3. Step 3: Cross multiply
    8,719.62x = 13,069.68 × 3,449.76
  4. Step 4: Simplify right side
    8,719.62x = 45,087,259.28
  5. Step 5: Solve for x
    x = 45,087,259.28/8,719.62
  6. Step 6: Final answer
    x = 5,170.78

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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.