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Finding the Fourth Proportional to 1,911.78, 2,869.17 and 1,219.62

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Solution

The fourth proportional to 1,911.78, 2,869.17 and 1,219.62 is: 1,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.78 : 2,869.17 = 1,219.62 : x
  2. Step 2: Convert to fraction form
    1,911.78/2,869.17 = 1,219.62/x
  3. Step 3: Cross multiply
    1,911.78x = 2,869.17 × 1,219.62
  4. Step 4: Simplify right side
    1,911.78x = 3,499,297.12
  5. Step 5: Solve for x
    x = 3,499,297.12/1,911.78
  6. Step 6: Final answer
    x = 1,830.39

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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.