Home / 2,049.40-2,828.13-1,117.90

Finding the Fourth Proportional to 2,049.40, 2,828.13 and 1,117.90

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Solution

The fourth proportional to 2,049.40, 2,828.13 and 1,117.90 is: 1,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.40 : 2,828.13 = 1,117.90 : x
  2. Step 2: Convert to fraction form
    2,049.40/2,828.13 = 1,117.90/x
  3. Step 3: Cross multiply
    2,049.40x = 2,828.13 × 1,117.90
  4. Step 4: Simplify right side
    2,049.40x = 3,161,566.53
  5. Step 5: Solve for x
    x = 3,161,566.53/2,049.40
  6. Step 6: Final answer
    x = 1,542.68

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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.