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Finding the Fourth Proportional to 2,981.78, 4,469.93 and 1,519.22

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Solution

The fourth proportional to 2,981.78, 4,469.93 and 1,519.22 is: 2,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.78 : 4,469.93 = 1,519.22 : x
  2. Step 2: Convert to fraction form
    2,981.78/4,469.93 = 1,519.22/x
  3. Step 3: Cross multiply
    2,981.78x = 4,469.93 × 1,519.22
  4. Step 4: Simplify right side
    2,981.78x = 6,790,807.05
  5. Step 5: Solve for x
    x = 6,790,807.05/2,981.78
  6. Step 6: Final answer
    x = 2,277.43

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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.