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Finding the Fourth Proportional to 3,440.30, 5,160.44 and 843.23

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Solution

The fourth proportional to 3,440.30, 5,160.44 and 843.23 is: 1,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.30 : 5,160.44 = 843.23 : x
  2. Step 2: Convert to fraction form
    3,440.30/5,160.44 = 843.23/x
  3. Step 3: Cross multiply
    3,440.30x = 5,160.44 × 843.23
  4. Step 4: Simplify right side
    3,440.30x = 4,351,452.83
  5. Step 5: Solve for x
    x = 4,351,452.83/3,440.30
  6. Step 6: Final answer
    x = 1,264.85

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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.