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Finding the Fourth Proportional to 2,348.99, 3,241.48 and 1,286.70

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Solution

The fourth proportional to 2,348.99, 3,241.48 and 1,286.70 is: 1,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.99 : 3,241.48 = 1,286.70 : x
  2. Step 2: Convert to fraction form
    2,348.99/3,241.48 = 1,286.70/x
  3. Step 3: Cross multiply
    2,348.99x = 3,241.48 × 1,286.70
  4. Step 4: Simplify right side
    2,348.99x = 4,170,803.02
  5. Step 5: Solve for x
    x = 4,170,803.02/2,348.99
  6. Step 6: Final answer
    x = 1,775.58

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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.