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Finding the Fourth Proportional to 3,449.78, 5,174.63 and 1,257.58

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Solution

The fourth proportional to 3,449.78, 5,174.63 and 1,257.58 is: 1,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.78 : 5,174.63 = 1,257.58 : x
  2. Step 2: Convert to fraction form
    3,449.78/5,174.63 = 1,257.58/x
  3. Step 3: Cross multiply
    3,449.78x = 5,174.63 × 1,257.58
  4. Step 4: Simplify right side
    3,449.78x = 6,507,511.20
  5. Step 5: Solve for x
    x = 6,507,511.20/3,449.78
  6. Step 6: Final answer
    x = 1,886.36

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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.