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Finding the Fourth Proportional to 5,118.75, 7,679.22 and 2,898.63

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Solution

The fourth proportional to 5,118.75, 7,679.22 and 2,898.63 is: 4,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.75 : 7,679.22 = 2,898.63 : x
  2. Step 2: Convert to fraction form
    5,118.75/7,679.22 = 2,898.63/x
  3. Step 3: Cross multiply
    5,118.75x = 7,679.22 × 2,898.63
  4. Step 4: Simplify right side
    5,118.75x = 22,259,201.31
  5. Step 5: Solve for x
    x = 22,259,201.31/5,118.75
  6. Step 6: Final answer
    x = 4,348.56

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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.