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Finding the Fourth Proportional to 8,100.76, 12,142.50 and 5,785.24

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Solution

The fourth proportional to 8,100.76, 12,142.50 and 5,785.24 is: 8,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.76 : 12,142.50 = 5,785.24 : x
  2. Step 2: Convert to fraction form
    8,100.76/12,142.50 = 5,785.24/x
  3. Step 3: Cross multiply
    8,100.76x = 12,142.50 × 5,785.24
  4. Step 4: Simplify right side
    8,100.76x = 70,247,276.70
  5. Step 5: Solve for x
    x = 70,247,276.70/8,100.76
  6. Step 6: Final answer
    x = 8,671.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.