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Finding the Fourth Proportional to 3,675, 5,071.62 and 2,103

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Solution

The fourth proportional to 3,675, 5,071.62 and 2,103 is: 2,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,071.62 = 2,103 : x
  2. Step 2: Convert to fraction form
    3,675/5,071.62 = 2,103/x
  3. Step 3: Cross multiply
    3,675x = 5,071.62 × 2,103
  4. Step 4: Simplify right side
    3,675x = 10,665,616.86
  5. Step 5: Solve for x
    x = 10,665,616.86/3,675
  6. Step 6: Final answer
    x = 2,902.21

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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.