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Finding the Fourth Proportional to 1,398.92, 2,107.86 and 1,160.78

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Solution

The fourth proportional to 1,398.92, 2,107.86 and 1,160.78 is: 1,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.92 : 2,107.86 = 1,160.78 : x
  2. Step 2: Convert to fraction form
    1,398.92/2,107.86 = 1,160.78/x
  3. Step 3: Cross multiply
    1,398.92x = 2,107.86 × 1,160.78
  4. Step 4: Simplify right side
    1,398.92x = 2,446,755.93
  5. Step 5: Solve for x
    x = 2,446,755.93/1,398.92
  6. Step 6: Final answer
    x = 1,749.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.