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Finding the Fourth Proportional to 3,191.78, 4,784.84 and 1,546.68

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Solution

The fourth proportional to 3,191.78, 4,784.84 and 1,546.68 is: 2,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.78 : 4,784.84 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    3,191.78/4,784.84 = 1,546.68/x
  3. Step 3: Cross multiply
    3,191.78x = 4,784.84 × 1,546.68
  4. Step 4: Simplify right side
    3,191.78x = 7,400,616.33
  5. Step 5: Solve for x
    x = 7,400,616.33/3,191.78
  6. Step 6: Final answer
    x = 2,318.65

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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.