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Finding the Fourth Proportional to 2,152.14, 3,228.22 and 691.38

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Solution

The fourth proportional to 2,152.14, 3,228.22 and 691.38 is: 1,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.14 : 3,228.22 = 691.38 : x
  2. Step 2: Convert to fraction form
    2,152.14/3,228.22 = 691.38/x
  3. Step 3: Cross multiply
    2,152.14x = 3,228.22 × 691.38
  4. Step 4: Simplify right side
    2,152.14x = 2,231,926.74
  5. Step 5: Solve for x
    x = 2,231,926.74/2,152.14
  6. Step 6: Final answer
    x = 1,037.07

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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.