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Finding the Fourth Proportional to 3,675, 5,071.50 and 2,103.60

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Solution

The fourth proportional to 3,675, 5,071.50 and 2,103.60 is: 2,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 5,071.50 = 2,103.60 : x
  2. Step 2: Convert to fraction form
    3,675/5,071.50 = 2,103.60/x
  3. Step 3: Cross multiply
    3,675x = 5,071.50 × 2,103.60
  4. Step 4: Simplify right side
    3,675x = 10,668,407.40
  5. Step 5: Solve for x
    x = 10,668,407.40/3,675
  6. Step 6: Final answer
    x = 2,902.97

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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.