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Finding the Fourth Proportional to 2,398.76, 3,310.16 and 1,350.75

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Solution

The fourth proportional to 2,398.76, 3,310.16 and 1,350.75 is: 1,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.76 : 3,310.16 = 1,350.75 : x
  2. Step 2: Convert to fraction form
    2,398.76/3,310.16 = 1,350.75/x
  3. Step 3: Cross multiply
    2,398.76x = 3,310.16 × 1,350.75
  4. Step 4: Simplify right side
    2,398.76x = 4,471,191.87
  5. Step 5: Solve for x
    x = 4,471,191.87/2,398.76
  6. Step 6: Final answer
    x = 1,863.96

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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.