Home / 2,422.27-3,633.90-778.78

Finding the Fourth Proportional to 2,422.27, 3,633.90 and 778.78

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Solution

The fourth proportional to 2,422.27, 3,633.90 and 778.78 is: 1,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.27 : 3,633.90 = 778.78 : x
  2. Step 2: Convert to fraction form
    2,422.27/3,633.90 = 778.78/x
  3. Step 3: Cross multiply
    2,422.27x = 3,633.90 × 778.78
  4. Step 4: Simplify right side
    2,422.27x = 2,830,008.64
  5. Step 5: Solve for x
    x = 2,830,008.64/2,422.27
  6. Step 6: Final answer
    x = 1,168.33

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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.