Home / 2,577.24-3,866.15-821.84

Finding the Fourth Proportional to 2,577.24, 3,866.15 and 821.84

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Solution

The fourth proportional to 2,577.24, 3,866.15 and 821.84 is: 1,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.24 : 3,866.15 = 821.84 : x
  2. Step 2: Convert to fraction form
    2,577.24/3,866.15 = 821.84/x
  3. Step 3: Cross multiply
    2,577.24x = 3,866.15 × 821.84
  4. Step 4: Simplify right side
    2,577.24x = 3,177,350.86
  5. Step 5: Solve for x
    x = 3,177,350.86/2,577.24
  6. Step 6: Final answer
    x = 1,232.85

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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.