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Finding the Fourth Proportional to 5,877.48, 8,815.80 and 3,410.76

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Solution

The fourth proportional to 5,877.48, 8,815.80 and 3,410.76 is: 5,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.48 : 8,815.80 = 3,410.76 : x
  2. Step 2: Convert to fraction form
    5,877.48/8,815.80 = 3,410.76/x
  3. Step 3: Cross multiply
    5,877.48x = 8,815.80 × 3,410.76
  4. Step 4: Simplify right side
    5,877.48x = 30,068,578.01
  5. Step 5: Solve for x
    x = 30,068,578.01/5,877.48
  6. Step 6: Final answer
    x = 5,115.90

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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.