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Finding the Fourth Proportional to 4,562.78, 6,849.22 and 3,270.02

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Solution

The fourth proportional to 4,562.78, 6,849.22 and 3,270.02 is: 4,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.78 : 6,849.22 = 3,270.02 : x
  2. Step 2: Convert to fraction form
    4,562.78/6,849.22 = 3,270.02/x
  3. Step 3: Cross multiply
    4,562.78x = 6,849.22 × 3,270.02
  4. Step 4: Simplify right side
    4,562.78x = 22,397,086.38
  5. Step 5: Solve for x
    x = 22,397,086.38/4,562.78
  6. Step 6: Final answer
    x = 4,908.65

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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.