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Finding the Fourth Proportional to 2,747.78, 4,123.02 and 1,287.02

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Solution

The fourth proportional to 2,747.78, 4,123.02 and 1,287.02 is: 1,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.78 : 4,123.02 = 1,287.02 : x
  2. Step 2: Convert to fraction form
    2,747.78/4,123.02 = 1,287.02/x
  3. Step 3: Cross multiply
    2,747.78x = 4,123.02 × 1,287.02
  4. Step 4: Simplify right side
    2,747.78x = 5,306,409.20
  5. Step 5: Solve for x
    x = 5,306,409.20/2,747.78
  6. Step 6: Final answer
    x = 1,931.16

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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.