Home / 2,409.18-3,612.96-849.12

Finding the Fourth Proportional to 2,409.18, 3,612.96 and 849.12

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Solution

The fourth proportional to 2,409.18, 3,612.96 and 849.12 is: 1,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.18 : 3,612.96 = 849.12 : x
  2. Step 2: Convert to fraction form
    2,409.18/3,612.96 = 849.12/x
  3. Step 3: Cross multiply
    2,409.18x = 3,612.96 × 849.12
  4. Step 4: Simplify right side
    2,409.18x = 3,067,836.60
  5. Step 5: Solve for x
    x = 3,067,836.60/2,409.18
  6. Step 6: Final answer
    x = 1,273.39

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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.