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Finding the Fourth Proportional to 3,761.76, 5,646.24 and 2,876

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Solution

The fourth proportional to 3,761.76, 5,646.24 and 2,876 is: 4,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.76 : 5,646.24 = 2,876 : x
  2. Step 2: Convert to fraction form
    3,761.76/5,646.24 = 2,876/x
  3. Step 3: Cross multiply
    3,761.76x = 5,646.24 × 2,876
  4. Step 4: Simplify right side
    3,761.76x = 16,238,586.24
  5. Step 5: Solve for x
    x = 16,238,586.24/3,761.76
  6. Step 6: Final answer
    x = 4,316.75

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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.