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Finding the Fourth Proportional to 2,155.91, 3,233.57 and 768.96

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Solution

The fourth proportional to 2,155.91, 3,233.57 and 768.96 is: 1,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.91 : 3,233.57 = 768.96 : x
  2. Step 2: Convert to fraction form
    2,155.91/3,233.57 = 768.96/x
  3. Step 3: Cross multiply
    2,155.91x = 3,233.57 × 768.96
  4. Step 4: Simplify right side
    2,155.91x = 2,486,482.14
  5. Step 5: Solve for x
    x = 2,486,482.14/2,155.91
  6. Step 6: Final answer
    x = 1,153.34

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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.