Home / 2,422.08-3,633.11-778.76

Finding the Fourth Proportional to 2,422.08, 3,633.11 and 778.76

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Solution

The fourth proportional to 2,422.08, 3,633.11 and 778.76 is: 1,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.08 : 3,633.11 = 778.76 : x
  2. Step 2: Convert to fraction form
    2,422.08/3,633.11 = 778.76/x
  3. Step 3: Cross multiply
    2,422.08x = 3,633.11 × 778.76
  4. Step 4: Simplify right side
    2,422.08x = 2,829,298.68
  5. Step 5: Solve for x
    x = 2,829,298.68/2,422.08
  6. Step 6: Final answer
    x = 1,168.13

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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.