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Finding the Fourth Proportional to 3,440.32, 5,160.41 and 843.26

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Solution

The fourth proportional to 3,440.32, 5,160.41 and 843.26 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.32 : 5,160.41 = 843.26 : x
  2. Step 2: Convert to fraction form
    3,440.32/5,160.41 = 843.26/x
  3. Step 3: Cross multiply
    3,440.32x = 5,160.41 × 843.26
  4. Step 4: Simplify right side
    3,440.32x = 4,351,537.32
  5. Step 5: Solve for x
    x = 4,351,537.32/3,440.32
  6. Step 6: Final answer
    x = 1,264.87

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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.