Home / 2,049.20-2,827.88-1,117.70

Finding the Fourth Proportional to 2,049.20, 2,827.88 and 1,117.70

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Solution

The fourth proportional to 2,049.20, 2,827.88 and 1,117.70 is: 1,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.20 : 2,827.88 = 1,117.70 : x
  2. Step 2: Convert to fraction form
    2,049.20/2,827.88 = 1,117.70/x
  3. Step 3: Cross multiply
    2,049.20x = 2,827.88 × 1,117.70
  4. Step 4: Simplify right side
    2,049.20x = 3,160,710.13
  5. Step 5: Solve for x
    x = 3,160,710.13/2,049.20
  6. Step 6: Final answer
    x = 1,542.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.