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Finding the Fourth Proportional to 4,889.76, 6,747.75 and 2,793.75

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Solution

The fourth proportional to 4,889.76, 6,747.75 and 2,793.75 is: 3,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.76 : 6,747.75 = 2,793.75 : x
  2. Step 2: Convert to fraction form
    4,889.76/6,747.75 = 2,793.75/x
  3. Step 3: Cross multiply
    4,889.76x = 6,747.75 × 2,793.75
  4. Step 4: Simplify right side
    4,889.76x = 18,851,526.56
  5. Step 5: Solve for x
    x = 18,851,526.56/4,889.76
  6. Step 6: Final answer
    x = 3,855.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.