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Finding the Fourth Proportional to 4,775, 6,589.50 and 2,679.80

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Solution

The fourth proportional to 4,775, 6,589.50 and 2,679.80 is: 3,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775 : 6,589.50 = 2,679.80 : x
  2. Step 2: Convert to fraction form
    4,775/6,589.50 = 2,679.80/x
  3. Step 3: Cross multiply
    4,775x = 6,589.50 × 2,679.80
  4. Step 4: Simplify right side
    4,775x = 17,658,542.10
  5. Step 5: Solve for x
    x = 17,658,542.10/4,775
  6. Step 6: Final answer
    x = 3,698.12

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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.