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Finding the Fourth Proportional to 2,170.92, 3,254.46 and 1,257

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Solution

The fourth proportional to 2,170.92, 3,254.46 and 1,257 is: 1,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.92 : 3,254.46 = 1,257 : x
  2. Step 2: Convert to fraction form
    2,170.92/3,254.46 = 1,257/x
  3. Step 3: Cross multiply
    2,170.92x = 3,254.46 × 1,257
  4. Step 4: Simplify right side
    2,170.92x = 4,090,856.22
  5. Step 5: Solve for x
    x = 4,090,856.22/2,170.92
  6. Step 6: Final answer
    x = 1,884.39

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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.