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Finding the Fourth Proportional to 4,601.98, 6,900 and 3,908.80

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Solution

The fourth proportional to 4,601.98, 6,900 and 3,908.80 is: 5,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.98 : 6,900 = 3,908.80 : x
  2. Step 2: Convert to fraction form
    4,601.98/6,900 = 3,908.80/x
  3. Step 3: Cross multiply
    4,601.98x = 6,900 × 3,908.80
  4. Step 4: Simplify right side
    4,601.98x = 26,970,720
  5. Step 5: Solve for x
    x = 26,970,720/4,601.98
  6. Step 6: Final answer
    x = 5,860.68

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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.