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Finding the Fourth Proportional to 2,772.92, 4,160.04 and 825.32

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Solution

The fourth proportional to 2,772.92, 4,160.04 and 825.32 is: 1,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.92 : 4,160.04 = 825.32 : x
  2. Step 2: Convert to fraction form
    2,772.92/4,160.04 = 825.32/x
  3. Step 3: Cross multiply
    2,772.92x = 4,160.04 × 825.32
  4. Step 4: Simplify right side
    2,772.92x = 3,433,364.21
  5. Step 5: Solve for x
    x = 3,433,364.21/2,772.92
  6. Step 6: Final answer
    x = 1,238.18

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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.