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Finding the Fourth Proportional to 2,974.02, 4,104.05 and 1,647.78

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Solution

The fourth proportional to 2,974.02, 4,104.05 and 1,647.78 is: 2,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.02 : 4,104.05 = 1,647.78 : x
  2. Step 2: Convert to fraction form
    2,974.02/4,104.05 = 1,647.78/x
  3. Step 3: Cross multiply
    2,974.02x = 4,104.05 × 1,647.78
  4. Step 4: Simplify right side
    2,974.02x = 6,762,563.27
  5. Step 5: Solve for x
    x = 6,762,563.27/2,974.02
  6. Step 6: Final answer
    x = 2,273.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.