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Finding the Fourth Proportional to 3,151.55, 4,715.78 and 2,982.57

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Solution

The fourth proportional to 3,151.55, 4,715.78 and 2,982.57 is: 4,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.55 : 4,715.78 = 2,982.57 : x
  2. Step 2: Convert to fraction form
    3,151.55/4,715.78 = 2,982.57/x
  3. Step 3: Cross multiply
    3,151.55x = 4,715.78 × 2,982.57
  4. Step 4: Simplify right side
    3,151.55x = 14,065,143.95
  5. Step 5: Solve for x
    x = 14,065,143.95/3,151.55
  6. Step 6: Final answer
    x = 4,462.93

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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.