Home / 2,151.68-3,227.14-981.42

Finding the Fourth Proportional to 2,151.68, 3,227.14 and 981.42

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Solution

The fourth proportional to 2,151.68, 3,227.14 and 981.42 is: 1,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.68 : 3,227.14 = 981.42 : x
  2. Step 2: Convert to fraction form
    2,151.68/3,227.14 = 981.42/x
  3. Step 3: Cross multiply
    2,151.68x = 3,227.14 × 981.42
  4. Step 4: Simplify right side
    2,151.68x = 3,167,179.74
  5. Step 5: Solve for x
    x = 3,167,179.74/2,151.68
  6. Step 6: Final answer
    x = 1,471.96

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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.