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Finding the Fourth Proportional to 3,171.26, 4,756.62 and 862.76

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Solution

The fourth proportional to 3,171.26, 4,756.62 and 862.76 is: 1,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.26 : 4,756.62 = 862.76 : x
  2. Step 2: Convert to fraction form
    3,171.26/4,756.62 = 862.76/x
  3. Step 3: Cross multiply
    3,171.26x = 4,756.62 × 862.76
  4. Step 4: Simplify right side
    3,171.26x = 4,103,821.47
  5. Step 5: Solve for x
    x = 4,103,821.47/3,171.26
  6. Step 6: Final answer
    x = 1,294.07

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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.