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Finding the Fourth Proportional to 2,131, 3,197.72 and 976.80

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Solution

The fourth proportional to 2,131, 3,197.72 and 976.80 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131 : 3,197.72 = 976.80 : x
  2. Step 2: Convert to fraction form
    2,131/3,197.72 = 976.80/x
  3. Step 3: Cross multiply
    2,131x = 3,197.72 × 976.80
  4. Step 4: Simplify right side
    2,131x = 3,123,532.90
  5. Step 5: Solve for x
    x = 3,123,532.90/2,131
  6. Step 6: Final answer
    x = 1,465.76

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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.