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Finding the Fourth Proportional to 3,916.32, 5,869 and 2,815.52

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Solution

The fourth proportional to 3,916.32, 5,869 and 2,815.52 is: 4,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.32 : 5,869 = 2,815.52 : x
  2. Step 2: Convert to fraction form
    3,916.32/5,869 = 2,815.52/x
  3. Step 3: Cross multiply
    3,916.32x = 5,869 × 2,815.52
  4. Step 4: Simplify right side
    3,916.32x = 16,524,286.88
  5. Step 5: Solve for x
    x = 16,524,286.88/3,916.32
  6. Step 6: Final answer
    x = 4,219.34

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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.