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Finding the Fourth Proportional to 2,057.40, 3,086.40 and 758.77

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Solution

The fourth proportional to 2,057.40, 3,086.40 and 758.77 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.40 : 3,086.40 = 758.77 : x
  2. Step 2: Convert to fraction form
    2,057.40/3,086.40 = 758.77/x
  3. Step 3: Cross multiply
    2,057.40x = 3,086.40 × 758.77
  4. Step 4: Simplify right side
    2,057.40x = 2,341,870.16
  5. Step 5: Solve for x
    x = 2,341,870.16/2,057.40
  6. Step 6: Final answer
    x = 1,138.26

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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.