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Finding the Fourth Proportional to 5,249.76, 7,868.67 and 2,747.08

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Solution

The fourth proportional to 5,249.76, 7,868.67 and 2,747.08 is: 4,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.76 : 7,868.67 = 2,747.08 : x
  2. Step 2: Convert to fraction form
    5,249.76/7,868.67 = 2,747.08/x
  3. Step 3: Cross multiply
    5,249.76x = 7,868.67 × 2,747.08
  4. Step 4: Simplify right side
    5,249.76x = 21,615,865.98
  5. Step 5: Solve for x
    x = 21,615,865.98/5,249.76
  6. Step 6: Final answer
    x = 4,117.50

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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.