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Finding the Fourth Proportional to 3,071.80, 4,608.78 and 1,610.92

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Solution

The fourth proportional to 3,071.80, 4,608.78 and 1,610.92 is: 2,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.80 : 4,608.78 = 1,610.92 : x
  2. Step 2: Convert to fraction form
    3,071.80/4,608.78 = 1,610.92/x
  3. Step 3: Cross multiply
    3,071.80x = 4,608.78 × 1,610.92
  4. Step 4: Simplify right side
    3,071.80x = 7,424,375.88
  5. Step 5: Solve for x
    x = 7,424,375.88/3,071.80
  6. Step 6: Final answer
    x = 2,416.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.