Home / 2,101.14-3,151.76-868.64

Finding the Fourth Proportional to 2,101.14, 3,151.76 and 868.64

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Solution

The fourth proportional to 2,101.14, 3,151.76 and 868.64 is: 1,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.14 : 3,151.76 = 868.64 : x
  2. Step 2: Convert to fraction form
    2,101.14/3,151.76 = 868.64/x
  3. Step 3: Cross multiply
    2,101.14x = 3,151.76 × 868.64
  4. Step 4: Simplify right side
    2,101.14x = 2,737,724.70
  5. Step 5: Solve for x
    x = 2,737,724.70/2,101.14
  6. Step 6: Final answer
    x = 1,302.97

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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.