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Finding the Fourth Proportional to 2,777.92, 4,164.96 and 1,238.08

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Solution

The fourth proportional to 2,777.92, 4,164.96 and 1,238.08 is: 1,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.92 : 4,164.96 = 1,238.08 : x
  2. Step 2: Convert to fraction form
    2,777.92/4,164.96 = 1,238.08/x
  3. Step 3: Cross multiply
    2,777.92x = 4,164.96 × 1,238.08
  4. Step 4: Simplify right side
    2,777.92x = 5,156,553.68
  5. Step 5: Solve for x
    x = 5,156,553.68/2,777.92
  6. Step 6: Final answer
    x = 1,856.26

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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.