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Finding the Fourth Proportional to 3,434, 5,155.24 and 3,252.56

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Solution

The fourth proportional to 3,434, 5,155.24 and 3,252.56 is: 4,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 5,155.24 = 3,252.56 : x
  2. Step 2: Convert to fraction form
    3,434/5,155.24 = 3,252.56/x
  3. Step 3: Cross multiply
    3,434x = 5,155.24 × 3,252.56
  4. Step 4: Simplify right side
    3,434x = 16,767,727.41
  5. Step 5: Solve for x
    x = 16,767,727.41/3,434
  6. Step 6: Final answer
    x = 4,882.86

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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.