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Finding the Fourth Proportional to 2,151.88, 3,228.56 and 691.08

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Solution

The fourth proportional to 2,151.88, 3,228.56 and 691.08 is: 1,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.88 : 3,228.56 = 691.08 : x
  2. Step 2: Convert to fraction form
    2,151.88/3,228.56 = 691.08/x
  3. Step 3: Cross multiply
    2,151.88x = 3,228.56 × 691.08
  4. Step 4: Simplify right side
    2,151.88x = 2,231,193.24
  5. Step 5: Solve for x
    x = 2,231,193.24/2,151.88
  6. Step 6: Final answer
    x = 1,036.86

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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.