Home / 2,411.26-3,616.92-767.80

Finding the Fourth Proportional to 2,411.26, 3,616.92 and 767.80

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Solution

The fourth proportional to 2,411.26, 3,616.92 and 767.80 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.26 : 3,616.92 = 767.80 : x
  2. Step 2: Convert to fraction form
    2,411.26/3,616.92 = 767.80/x
  3. Step 3: Cross multiply
    2,411.26x = 3,616.92 × 767.80
  4. Step 4: Simplify right side
    2,411.26x = 2,777,071.18
  5. Step 5: Solve for x
    x = 2,777,071.18/2,411.26
  6. Step 6: Final answer
    x = 1,151.71

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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.