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Finding the Fourth Proportional to 8,965.40, 13,449.65 and 3,419.24

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Solution

The fourth proportional to 8,965.40, 13,449.65 and 3,419.24 is: 5,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.40 : 13,449.65 = 3,419.24 : x
  2. Step 2: Convert to fraction form
    8,965.40/13,449.65 = 3,419.24/x
  3. Step 3: Cross multiply
    8,965.40x = 13,449.65 × 3,419.24
  4. Step 4: Simplify right side
    8,965.40x = 45,987,496.92
  5. Step 5: Solve for x
    x = 45,987,496.92/8,965.40
  6. Step 6: Final answer
    x = 5,129.44

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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.