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Finding the Fourth Proportional to 3,739, 5,160.18 and 2,083

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Solution

The fourth proportional to 3,739, 5,160.18 and 2,083 is: 2,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739 : 5,160.18 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,739/5,160.18 = 2,083/x
  3. Step 3: Cross multiply
    3,739x = 5,160.18 × 2,083
  4. Step 4: Simplify right side
    3,739x = 10,748,654.94
  5. Step 5: Solve for x
    x = 10,748,654.94/3,739
  6. Step 6: Final answer
    x = 2,874.74

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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.