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Finding the Fourth Proportional to 3,472.80, 5,209.20 and 2,087.70

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Solution

The fourth proportional to 3,472.80, 5,209.20 and 2,087.70 is: 3,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.80 : 5,209.20 = 2,087.70 : x
  2. Step 2: Convert to fraction form
    3,472.80/5,209.20 = 2,087.70/x
  3. Step 3: Cross multiply
    3,472.80x = 5,209.20 × 2,087.70
  4. Step 4: Simplify right side
    3,472.80x = 10,875,246.84
  5. Step 5: Solve for x
    x = 10,875,246.84/3,472.80
  6. Step 6: Final answer
    x = 3,131.55

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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.