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Finding the Fourth Proportional to 3,840, 5,761.35 and 1,893.57

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Solution

The fourth proportional to 3,840, 5,761.35 and 1,893.57 is: 2,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,761.35 = 1,893.57 : x
  2. Step 2: Convert to fraction form
    3,840/5,761.35 = 1,893.57/x
  3. Step 3: Cross multiply
    3,840x = 5,761.35 × 1,893.57
  4. Step 4: Simplify right side
    3,840x = 10,909,519.52
  5. Step 5: Solve for x
    x = 10,909,519.52/3,840
  6. Step 6: Final answer
    x = 2,841.02

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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.