Home / 2,257.24-3,386.10-613.81

Finding the Fourth Proportional to 2,257.24, 3,386.10 and 613.81

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Solution

The fourth proportional to 2,257.24, 3,386.10 and 613.81 is: 920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.24 : 3,386.10 = 613.81 : x
  2. Step 2: Convert to fraction form
    2,257.24/3,386.10 = 613.81/x
  3. Step 3: Cross multiply
    2,257.24x = 3,386.10 × 613.81
  4. Step 4: Simplify right side
    2,257.24x = 2,078,422.04
  5. Step 5: Solve for x
    x = 2,078,422.04/2,257.24
  6. Step 6: Final answer
    x = 920.78

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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.