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Finding the Fourth Proportional to 2,458.89, 3,686.49 and 814.44

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Solution

The fourth proportional to 2,458.89, 3,686.49 and 814.44 is: 1,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.89 : 3,686.49 = 814.44 : x
  2. Step 2: Convert to fraction form
    2,458.89/3,686.49 = 814.44/x
  3. Step 3: Cross multiply
    2,458.89x = 3,686.49 × 814.44
  4. Step 4: Simplify right side
    2,458.89x = 3,002,424.92
  5. Step 5: Solve for x
    x = 3,002,424.92/2,458.89
  6. Step 6: Final answer
    x = 1,221.05

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1.5x scale

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.