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Finding the Fourth Proportional to 2,348.92, 3,241.47 and 1,286.74

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Solution

The fourth proportional to 2,348.92, 3,241.47 and 1,286.74 is: 1,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.92 : 3,241.47 = 1,286.74 : x
  2. Step 2: Convert to fraction form
    2,348.92/3,241.47 = 1,286.74/x
  3. Step 3: Cross multiply
    2,348.92x = 3,241.47 × 1,286.74
  4. Step 4: Simplify right side
    2,348.92x = 4,170,929.11
  5. Step 5: Solve for x
    x = 4,170,929.11/2,348.92
  6. Step 6: Final answer
    x = 1,775.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.