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Finding the Fourth Proportional to 8,969.68, 13,454.52 and 2,729.14

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Solution

The fourth proportional to 8,969.68, 13,454.52 and 2,729.14 is: 4,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.68 : 13,454.52 = 2,729.14 : x
  2. Step 2: Convert to fraction form
    8,969.68/13,454.52 = 2,729.14/x
  3. Step 3: Cross multiply
    8,969.68x = 13,454.52 × 2,729.14
  4. Step 4: Simplify right side
    8,969.68x = 36,719,240.19
  5. Step 5: Solve for x
    x = 36,719,240.19/8,969.68
  6. Step 6: Final answer
    x = 4,093.71

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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.