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Finding the Fourth Proportional to 2,747.92, 4,115.19 and 1,287.49

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Solution

The fourth proportional to 2,747.92, 4,115.19 and 1,287.49 is: 1,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.92 : 4,115.19 = 1,287.49 : x
  2. Step 2: Convert to fraction form
    2,747.92/4,115.19 = 1,287.49/x
  3. Step 3: Cross multiply
    2,747.92x = 4,115.19 × 1,287.49
  4. Step 4: Simplify right side
    2,747.92x = 5,298,260.51
  5. Step 5: Solve for x
    x = 5,298,260.51/2,747.92
  6. Step 6: Final answer
    x = 1,928.10

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1.5x scale

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.