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Finding the Fourth Proportional to 5,661.12, 8,487.81 and 2,882.42

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Solution

The fourth proportional to 5,661.12, 8,487.81 and 2,882.42 is: 4,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.12 : 8,487.81 = 2,882.42 : x
  2. Step 2: Convert to fraction form
    5,661.12/8,487.81 = 2,882.42/x
  3. Step 3: Cross multiply
    5,661.12x = 8,487.81 × 2,882.42
  4. Step 4: Simplify right side
    5,661.12x = 24,465,376.45
  5. Step 5: Solve for x
    x = 24,465,376.45/5,661.12
  6. Step 6: Final answer
    x = 4,321.65

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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.