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Finding the Fourth Proportional to 2,398.78, 3,310.05 and 1,350.82

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Solution

The fourth proportional to 2,398.78, 3,310.05 and 1,350.82 is: 1,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.78 : 3,310.05 = 1,350.82 : x
  2. Step 2: Convert to fraction form
    2,398.78/3,310.05 = 1,350.82/x
  3. Step 3: Cross multiply
    2,398.78x = 3,310.05 × 1,350.82
  4. Step 4: Simplify right side
    2,398.78x = 4,471,281.74
  5. Step 5: Solve for x
    x = 4,471,281.74/2,398.78
  6. Step 6: Final answer
    x = 1,863.98

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