Home / 2,458.24-3,687.60-814.40

Finding the Fourth Proportional to 2,458.24, 3,687.60 and 814.40

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Solution

The fourth proportional to 2,458.24, 3,687.60 and 814.40 is: 1,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.24 : 3,687.60 = 814.40 : x
  2. Step 2: Convert to fraction form
    2,458.24/3,687.60 = 814.40/x
  3. Step 3: Cross multiply
    2,458.24x = 3,687.60 × 814.40
  4. Step 4: Simplify right side
    2,458.24x = 3,003,181.44
  5. Step 5: Solve for x
    x = 3,003,181.44/2,458.24
  6. Step 6: Final answer
    x = 1,221.68

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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.