Home / 2,118.24-3,177.84-819.72

Finding the Fourth Proportional to 2,118.24, 3,177.84 and 819.72

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Solution

The fourth proportional to 2,118.24, 3,177.84 and 819.72 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.24 : 3,177.84 = 819.72 : x
  2. Step 2: Convert to fraction form
    2,118.24/3,177.84 = 819.72/x
  3. Step 3: Cross multiply
    2,118.24x = 3,177.84 × 819.72
  4. Step 4: Simplify right side
    2,118.24x = 2,604,939.00
  5. Step 5: Solve for x
    x = 2,604,939.00/2,118.24
  6. Step 6: Final answer
    x = 1,229.77

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1.5x scale

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.