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Finding the Fourth Proportional to 8,961.47, 13,448.04 and 3,414.86

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Solution

The fourth proportional to 8,961.47, 13,448.04 and 3,414.86 is: 5,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.47 : 13,448.04 = 3,414.86 : x
  2. Step 2: Convert to fraction form
    8,961.47/13,448.04 = 3,414.86/x
  3. Step 3: Cross multiply
    8,961.47x = 13,448.04 × 3,414.86
  4. Step 4: Simplify right side
    8,961.47x = 45,923,173.87
  5. Step 5: Solve for x
    x = 45,923,173.87/8,961.47
  6. Step 6: Final answer
    x = 5,124.51

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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.