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Finding the Fourth Proportional to 2,155.95, 3,233.79 and 696.15

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Solution

The fourth proportional to 2,155.95, 3,233.79 and 696.15 is: 1,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.95 : 3,233.79 = 696.15 : x
  2. Step 2: Convert to fraction form
    2,155.95/3,233.79 = 696.15/x
  3. Step 3: Cross multiply
    2,155.95x = 3,233.79 × 696.15
  4. Step 4: Simplify right side
    2,155.95x = 2,251,202.91
  5. Step 5: Solve for x
    x = 2,251,202.91/2,155.95
  6. Step 6: Final answer
    x = 1,044.18

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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.