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Finding the Fourth Proportional to 2,536.26, 3,804.89 and 781.14

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Solution

The fourth proportional to 2,536.26, 3,804.89 and 781.14 is: 1,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.26 : 3,804.89 = 781.14 : x
  2. Step 2: Convert to fraction form
    2,536.26/3,804.89 = 781.14/x
  3. Step 3: Cross multiply
    2,536.26x = 3,804.89 × 781.14
  4. Step 4: Simplify right side
    2,536.26x = 2,972,147.87
  5. Step 5: Solve for x
    x = 2,972,147.87/2,536.26
  6. Step 6: Final answer
    x = 1,171.86

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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.