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Finding the Fourth Proportional to 2,058.40, 3,086.76 and 759.12

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Solution

The fourth proportional to 2,058.40, 3,086.76 and 759.12 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.40 : 3,086.76 = 759.12 : x
  2. Step 2: Convert to fraction form
    2,058.40/3,086.76 = 759.12/x
  3. Step 3: Cross multiply
    2,058.40x = 3,086.76 × 759.12
  4. Step 4: Simplify right side
    2,058.40x = 2,343,221.25
  5. Step 5: Solve for x
    x = 2,343,221.25/2,058.40
  6. Step 6: Final answer
    x = 1,138.37

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1.5x scale

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.