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Finding the Fourth Proportional to 3,381, 5,071.50 and 1,329

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Solution

The fourth proportional to 3,381, 5,071.50 and 1,329 is: 1,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 5,071.50 = 1,329 : x
  2. Step 2: Convert to fraction form
    3,381/5,071.50 = 1,329/x
  3. Step 3: Cross multiply
    3,381x = 5,071.50 × 1,329
  4. Step 4: Simplify right side
    3,381x = 6,740,023.50
  5. Step 5: Solve for x
    x = 6,740,023.50/3,381
  6. Step 6: Final answer
    x = 1,993.50

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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.