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Finding the Fourth Proportional to 8,611.61, 12,894.28 and 5,474.61

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Solution

The fourth proportional to 8,611.61, 12,894.28 and 5,474.61 is: 8,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.61 : 12,894.28 = 5,474.61 : x
  2. Step 2: Convert to fraction form
    8,611.61/12,894.28 = 5,474.61/x
  3. Step 3: Cross multiply
    8,611.61x = 12,894.28 × 5,474.61
  4. Step 4: Simplify right side
    8,611.61x = 70,591,126.86
  5. Step 5: Solve for x
    x = 70,591,126.86/8,611.61
  6. Step 6: Final answer
    x = 8,197.20

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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.