Home / 2,101.30-3,151.96-1,177.80

Finding the Fourth Proportional to 2,101.30, 3,151.96 and 1,177.80

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Solution

The fourth proportional to 2,101.30, 3,151.96 and 1,177.80 is: 1,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.30 : 3,151.96 = 1,177.80 : x
  2. Step 2: Convert to fraction form
    2,101.30/3,151.96 = 1,177.80/x
  3. Step 3: Cross multiply
    2,101.30x = 3,151.96 × 1,177.80
  4. Step 4: Simplify right side
    2,101.30x = 3,712,378.49
  5. Step 5: Solve for x
    x = 3,712,378.49/2,101.30
  6. Step 6: Final answer
    x = 1,766.71

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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.