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Finding the Fourth Proportional to 3,866.62, 5,330.11 and 3,025.86

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Solution

The fourth proportional to 3,866.62, 5,330.11 and 3,025.86 is: 4,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.62 : 5,330.11 = 3,025.86 : x
  2. Step 2: Convert to fraction form
    3,866.62/5,330.11 = 3,025.86/x
  3. Step 3: Cross multiply
    3,866.62x = 5,330.11 × 3,025.86
  4. Step 4: Simplify right side
    3,866.62x = 16,128,166.64
  5. Step 5: Solve for x
    x = 16,128,166.64/3,866.62
  6. Step 6: Final answer
    x = 4,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.