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Finding the Fourth Proportional to 2,707.48, 4,060.62 and 759.88

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Solution

The fourth proportional to 2,707.48, 4,060.62 and 759.88 is: 1,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.48 : 4,060.62 = 759.88 : x
  2. Step 2: Convert to fraction form
    2,707.48/4,060.62 = 759.88/x
  3. Step 3: Cross multiply
    2,707.48x = 4,060.62 × 759.88
  4. Step 4: Simplify right side
    2,707.48x = 3,085,583.93
  5. Step 5: Solve for x
    x = 3,085,583.93/2,707.48
  6. Step 6: Final answer
    x = 1,139.65

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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.