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Finding the Fourth Proportional to 1,591.46, 2,195.80 and 961.46

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Solution

The fourth proportional to 1,591.46, 2,195.80 and 961.46 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.46 : 2,195.80 = 961.46 : x
  2. Step 2: Convert to fraction form
    1,591.46/2,195.80 = 961.46/x
  3. Step 3: Cross multiply
    1,591.46x = 2,195.80 × 961.46
  4. Step 4: Simplify right side
    1,591.46x = 2,111,173.87
  5. Step 5: Solve for x
    x = 2,111,173.87/1,591.46
  6. Step 6: Final answer
    x = 1,326.56

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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.