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Finding the Fourth Proportional to 5,286.12, 7,929 and 1,825.80

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Solution

The fourth proportional to 5,286.12, 7,929 and 1,825.80 is: 2,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.12 : 7,929 = 1,825.80 : x
  2. Step 2: Convert to fraction form
    5,286.12/7,929 = 1,825.80/x
  3. Step 3: Cross multiply
    5,286.12x = 7,929 × 1,825.80
  4. Step 4: Simplify right side
    5,286.12x = 14,476,768.20
  5. Step 5: Solve for x
    x = 14,476,768.20/5,286.12
  6. Step 6: Final answer
    x = 2,738.64

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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.