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Finding the Fourth Proportional to 2,458.25, 3,687.98 and 814.96

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Solution

The fourth proportional to 2,458.25, 3,687.98 and 814.96 is: 1,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.25 : 3,687.98 = 814.96 : x
  2. Step 2: Convert to fraction form
    2,458.25/3,687.98 = 814.96/x
  3. Step 3: Cross multiply
    2,458.25x = 3,687.98 × 814.96
  4. Step 4: Simplify right side
    2,458.25x = 3,005,556.18
  5. Step 5: Solve for x
    x = 3,005,556.18/2,458.25
  6. Step 6: Final answer
    x = 1,222.64

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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.