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Finding the Fourth Proportional to 3,472.61, 5,209.85 and 1,828.71

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Solution

The fourth proportional to 3,472.61, 5,209.85 and 1,828.71 is: 2,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.61 : 5,209.85 = 1,828.71 : x
  2. Step 2: Convert to fraction form
    3,472.61/5,209.85 = 1,828.71/x
  3. Step 3: Cross multiply
    3,472.61x = 5,209.85 × 1,828.71
  4. Step 4: Simplify right side
    3,472.61x = 9,527,309.37
  5. Step 5: Solve for x
    x = 9,527,309.37/3,472.61
  6. Step 6: Final answer
    x = 2,743.56

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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.