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Finding the Fourth Proportional to 3,175.62, 4,763.82 and 1,328

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Solution

The fourth proportional to 3,175.62, 4,763.82 and 1,328 is: 1,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.62 : 4,763.82 = 1,328 : x
  2. Step 2: Convert to fraction form
    3,175.62/4,763.82 = 1,328/x
  3. Step 3: Cross multiply
    3,175.62x = 4,763.82 × 1,328
  4. Step 4: Simplify right side
    3,175.62x = 6,326,352.96
  5. Step 5: Solve for x
    x = 6,326,352.96/3,175.62
  6. Step 6: Final answer
    x = 1,992.16

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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.