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Finding the Fourth Proportional to 2,762.30, 4,143.45 and 814.56

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Solution

The fourth proportional to 2,762.30, 4,143.45 and 814.56 is: 1,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.30 : 4,143.45 = 814.56 : x
  2. Step 2: Convert to fraction form
    2,762.30/4,143.45 = 814.56/x
  3. Step 3: Cross multiply
    2,762.30x = 4,143.45 × 814.56
  4. Step 4: Simplify right side
    2,762.30x = 3,375,076.15
  5. Step 5: Solve for x
    x = 3,375,076.15/2,762.30
  6. Step 6: Final answer
    x = 1,221.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.