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Finding the Fourth Proportional to 3,892, 5,839.44 and 1,840

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Solution

The fourth proportional to 3,892, 5,839.44 and 1,840 is: 2,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 5,839.44 = 1,840 : x
  2. Step 2: Convert to fraction form
    3,892/5,839.44 = 1,840/x
  3. Step 3: Cross multiply
    3,892x = 5,839.44 × 1,840
  4. Step 4: Simplify right side
    3,892x = 10,744,569.60
  5. Step 5: Solve for x
    x = 10,744,569.60/3,892
  6. Step 6: Final answer
    x = 2,760.68

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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.