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Finding the Fourth Proportional to 8,965.20, 13,447.86 and 4,029.12

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Solution

The fourth proportional to 8,965.20, 13,447.86 and 4,029.12 is: 6,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.20 : 13,447.86 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    8,965.20/13,447.86 = 4,029.12/x
  3. Step 3: Cross multiply
    8,965.20x = 13,447.86 × 4,029.12
  4. Step 4: Simplify right side
    8,965.20x = 54,183,041.68
  5. Step 5: Solve for x
    x = 54,183,041.68/8,965.20
  6. Step 6: Final answer
    x = 6,043.71

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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.