Home / 2,101.13-3,149.55-869.21

Finding the Fourth Proportional to 2,101.13, 3,149.55 and 869.21

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Solution

The fourth proportional to 2,101.13, 3,149.55 and 869.21 is: 1,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.13 : 3,149.55 = 869.21 : x
  2. Step 2: Convert to fraction form
    2,101.13/3,149.55 = 869.21/x
  3. Step 3: Cross multiply
    2,101.13x = 3,149.55 × 869.21
  4. Step 4: Simplify right side
    2,101.13x = 2,737,604.61
  5. Step 5: Solve for x
    x = 2,737,604.61/2,101.13
  6. Step 6: Final answer
    x = 1,302.92

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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.