Home / 2,472.22-3,708.35-828.77

Finding the Fourth Proportional to 2,472.22, 3,708.35 and 828.77

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Solution

The fourth proportional to 2,472.22, 3,708.35 and 828.77 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.22 : 3,708.35 = 828.77 : x
  2. Step 2: Convert to fraction form
    2,472.22/3,708.35 = 828.77/x
  3. Step 3: Cross multiply
    2,472.22x = 3,708.35 × 828.77
  4. Step 4: Simplify right side
    2,472.22x = 3,073,350.69
  5. Step 5: Solve for x
    x = 3,073,350.69/2,472.22
  6. Step 6: Final answer
    x = 1,243.16

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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.