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Finding the Fourth Proportional to 2,458, 3,687.61 and 814.72

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Solution

The fourth proportional to 2,458, 3,687.61 and 814.72 is: 1,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458 : 3,687.61 = 814.72 : x
  2. Step 2: Convert to fraction form
    2,458/3,687.61 = 814.72/x
  3. Step 3: Cross multiply
    2,458x = 3,687.61 × 814.72
  4. Step 4: Simplify right side
    2,458x = 3,004,351.18
  5. Step 5: Solve for x
    x = 3,004,351.18/2,458
  6. Step 6: Final answer
    x = 1,222.27

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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.