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Finding the Fourth Proportional to 2,058.56, 3,085.92 and 759.68

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Solution

The fourth proportional to 2,058.56, 3,085.92 and 759.68 is: 1,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.56 : 3,085.92 = 759.68 : x
  2. Step 2: Convert to fraction form
    2,058.56/3,085.92 = 759.68/x
  3. Step 3: Cross multiply
    2,058.56x = 3,085.92 × 759.68
  4. Step 4: Simplify right side
    2,058.56x = 2,344,311.71
  5. Step 5: Solve for x
    x = 2,344,311.71/2,058.56
  6. Step 6: Final answer
    x = 1,138.81

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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.