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Finding the Fourth Proportional to 2,772.92, 4,164.32 and 2,661.42

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Solution

The fourth proportional to 2,772.92, 4,164.32 and 2,661.42 is: 3,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.92 : 4,164.32 = 2,661.42 : x
  2. Step 2: Convert to fraction form
    2,772.92/4,164.32 = 2,661.42/x
  3. Step 3: Cross multiply
    2,772.92x = 4,164.32 × 2,661.42
  4. Step 4: Simplify right side
    2,772.92x = 11,083,004.53
  5. Step 5: Solve for x
    x = 11,083,004.53/2,772.92
  6. Step 6: Final answer
    x = 3,996.87

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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.