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Finding the Fourth Proportional to 8,138.64, 12,197.16 and 2,939.52

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Solution

The fourth proportional to 8,138.64, 12,197.16 and 2,939.52 is: 4,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.64 : 12,197.16 = 2,939.52 : x
  2. Step 2: Convert to fraction form
    8,138.64/12,197.16 = 2,939.52/x
  3. Step 3: Cross multiply
    8,138.64x = 12,197.16 × 2,939.52
  4. Step 4: Simplify right side
    8,138.64x = 35,853,795.76
  5. Step 5: Solve for x
    x = 35,853,795.76/8,138.64
  6. Step 6: Final answer
    x = 4,405.38

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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.