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Finding the Fourth Proportional to 2,153.09, 3,228.91 and 691.90

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Solution

The fourth proportional to 2,153.09, 3,228.91 and 691.90 is: 1,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.09 : 3,228.91 = 691.90 : x
  2. Step 2: Convert to fraction form
    2,153.09/3,228.91 = 691.90/x
  3. Step 3: Cross multiply
    2,153.09x = 3,228.91 × 691.90
  4. Step 4: Simplify right side
    2,153.09x = 2,234,082.83
  5. Step 5: Solve for x
    x = 2,234,082.83/2,153.09
  6. Step 6: Final answer
    x = 1,037.62

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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.