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Finding the Fourth Proportional to 3,170, 4,376.52 and 2,067.92

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Solution

The fourth proportional to 3,170, 4,376.52 and 2,067.92 is: 2,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,376.52 = 2,067.92 : x
  2. Step 2: Convert to fraction form
    3,170/4,376.52 = 2,067.92/x
  3. Step 3: Cross multiply
    3,170x = 4,376.52 × 2,067.92
  4. Step 4: Simplify right side
    3,170x = 9,050,293.24
  5. Step 5: Solve for x
    x = 9,050,293.24/3,170
  6. Step 6: Final answer
    x = 2,854.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.