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Finding the Fourth Proportional to 3,186.92, 4,780.56 and 878.42

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Solution

The fourth proportional to 3,186.92, 4,780.56 and 878.42 is: 1,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.92 : 4,780.56 = 878.42 : x
  2. Step 2: Convert to fraction form
    3,186.92/4,780.56 = 878.42/x
  3. Step 3: Cross multiply
    3,186.92x = 4,780.56 × 878.42
  4. Step 4: Simplify right side
    3,186.92x = 4,199,339.52
  5. Step 5: Solve for x
    x = 4,199,339.52/3,186.92
  6. Step 6: Final answer
    x = 1,317.68

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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.