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Finding the Fourth Proportional to 3,449.84, 5,171.92 and 1,257.17

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Solution

The fourth proportional to 3,449.84, 5,171.92 and 1,257.17 is: 1,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.84 : 5,171.92 = 1,257.17 : x
  2. Step 2: Convert to fraction form
    3,449.84/5,171.92 = 1,257.17/x
  3. Step 3: Cross multiply
    3,449.84x = 5,171.92 × 1,257.17
  4. Step 4: Simplify right side
    3,449.84x = 6,501,953.66
  5. Step 5: Solve for x
    x = 6,501,953.66/3,449.84
  6. Step 6: Final answer
    x = 1,884.71

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1.5x scale

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.