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Finding the Fourth Proportional to 3,610.08, 4,978.08 and 2,211.84

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Solution

The fourth proportional to 3,610.08, 4,978.08 and 2,211.84 is: 3,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.08 : 4,978.08 = 2,211.84 : x
  2. Step 2: Convert to fraction form
    3,610.08/4,978.08 = 2,211.84/x
  3. Step 3: Cross multiply
    3,610.08x = 4,978.08 × 2,211.84
  4. Step 4: Simplify right side
    3,610.08x = 11,010,716.47
  5. Step 5: Solve for x
    x = 11,010,716.47/3,610.08
  6. Step 6: Final answer
    x = 3,049.99

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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.