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Finding the Fourth Proportional to 4,906.80, 7,360.20 and 1,619

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Solution

The fourth proportional to 4,906.80, 7,360.20 and 1,619 is: 2,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.80 : 7,360.20 = 1,619 : x
  2. Step 2: Convert to fraction form
    4,906.80/7,360.20 = 1,619/x
  3. Step 3: Cross multiply
    4,906.80x = 7,360.20 × 1,619
  4. Step 4: Simplify right side
    4,906.80x = 11,916,163.80
  5. Step 5: Solve for x
    x = 11,916,163.80/4,906.80
  6. Step 6: Final answer
    x = 2,428.50

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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.