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Finding the Fourth Proportional to 3,691.63, 5,527.19 and 2,871.50

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Solution

The fourth proportional to 3,691.63, 5,527.19 and 2,871.50 is: 4,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.63 : 5,527.19 = 2,871.50 : x
  2. Step 2: Convert to fraction form
    3,691.63/5,527.19 = 2,871.50/x
  3. Step 3: Cross multiply
    3,691.63x = 5,527.19 × 2,871.50
  4. Step 4: Simplify right side
    3,691.63x = 15,871,320.57
  5. Step 5: Solve for x
    x = 15,871,320.57/3,691.63
  6. Step 6: Final answer
    x = 4,299.28

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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.