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Finding the Fourth Proportional to 2,054.26, 3,081.37 and 515.26

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Solution

The fourth proportional to 2,054.26, 3,081.37 and 515.26 is: 772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.26 : 3,081.37 = 515.26 : x
  2. Step 2: Convert to fraction form
    2,054.26/3,081.37 = 515.26/x
  3. Step 3: Cross multiply
    2,054.26x = 3,081.37 × 515.26
  4. Step 4: Simplify right side
    2,054.26x = 1,587,706.71
  5. Step 5: Solve for x
    x = 1,587,706.71/2,054.26
  6. Step 6: Final answer
    x = 772.88

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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.