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Finding the Fourth Proportional to 2,195.62, 3,293.24 and 656.62

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Solution

The fourth proportional to 2,195.62, 3,293.24 and 656.62 is: 984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.62 : 3,293.24 = 656.62 : x
  2. Step 2: Convert to fraction form
    2,195.62/3,293.24 = 656.62/x
  3. Step 3: Cross multiply
    2,195.62x = 3,293.24 × 656.62
  4. Step 4: Simplify right side
    2,195.62x = 2,162,400.66
  5. Step 5: Solve for x
    x = 2,162,400.66/2,195.62
  6. Step 6: Final answer
    x = 984.87

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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.