Home / 3,171.28-4,756.38-862.78

Finding the Fourth Proportional to 3,171.28, 4,756.38 and 862.78

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Solution

The fourth proportional to 3,171.28, 4,756.38 and 862.78 is: 1,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.28 : 4,756.38 = 862.78 : x
  2. Step 2: Convert to fraction form
    3,171.28/4,756.38 = 862.78/x
  3. Step 3: Cross multiply
    3,171.28x = 4,756.38 × 862.78
  4. Step 4: Simplify right side
    3,171.28x = 4,103,709.54
  5. Step 5: Solve for x
    x = 4,103,709.54/3,171.28
  6. Step 6: Final answer
    x = 1,294.02

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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.