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Finding the Fourth Proportional to 1,398.97, 2,095.21 and 1,350.37

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Solution

The fourth proportional to 1,398.97, 2,095.21 and 1,350.37 is: 2,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.97 : 2,095.21 = 1,350.37 : x
  2. Step 2: Convert to fraction form
    1,398.97/2,095.21 = 1,350.37/x
  3. Step 3: Cross multiply
    1,398.97x = 2,095.21 × 1,350.37
  4. Step 4: Simplify right side
    1,398.97x = 2,829,308.73
  5. Step 5: Solve for x
    x = 2,829,308.73/1,398.97
  6. Step 6: Final answer
    x = 2,022.42

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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.