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Finding the Fourth Proportional to 3,191.52, 4,785.42 and 1,893.90

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Solution

The fourth proportional to 3,191.52, 4,785.42 and 1,893.90 is: 2,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.52 : 4,785.42 = 1,893.90 : x
  2. Step 2: Convert to fraction form
    3,191.52/4,785.42 = 1,893.90/x
  3. Step 3: Cross multiply
    3,191.52x = 4,785.42 × 1,893.90
  4. Step 4: Simplify right side
    3,191.52x = 9,063,106.94
  5. Step 5: Solve for x
    x = 9,063,106.94/3,191.52
  6. Step 6: Final answer
    x = 2,839.75

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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.