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Finding the Fourth Proportional to 7,581.40, 10,454.82 and 6,843.04

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Solution

The fourth proportional to 7,581.40, 10,454.82 and 6,843.04 is: 9,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.40 : 10,454.82 = 6,843.04 : x
  2. Step 2: Convert to fraction form
    7,581.40/10,454.82 = 6,843.04/x
  3. Step 3: Cross multiply
    7,581.40x = 10,454.82 × 6,843.04
  4. Step 4: Simplify right side
    7,581.40x = 71,542,751.45
  5. Step 5: Solve for x
    x = 71,542,751.45/7,581.40
  6. Step 6: Final answer
    x = 9,436.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.