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Finding the Fourth Proportional to 1,999.48, 2,759.30 and 1,160.69

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Solution

The fourth proportional to 1,999.48, 2,759.30 and 1,160.69 is: 1,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.48 : 2,759.30 = 1,160.69 : x
  2. Step 2: Convert to fraction form
    1,999.48/2,759.30 = 1,160.69/x
  3. Step 3: Cross multiply
    1,999.48x = 2,759.30 × 1,160.69
  4. Step 4: Simplify right side
    1,999.48x = 3,202,691.92
  5. Step 5: Solve for x
    x = 3,202,691.92/1,999.48
  6. Step 6: Final answer
    x = 1,601.76

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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.