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Finding the Fourth Proportional to 1,229.90, 1,843.28 and 1,216.88

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Solution

The fourth proportional to 1,229.90, 1,843.28 and 1,216.88 is: 1,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.90 : 1,843.28 = 1,216.88 : x
  2. Step 2: Convert to fraction form
    1,229.90/1,843.28 = 1,216.88/x
  3. Step 3: Cross multiply
    1,229.90x = 1,843.28 × 1,216.88
  4. Step 4: Simplify right side
    1,229.90x = 2,243,044.39
  5. Step 5: Solve for x
    x = 2,243,044.39/1,229.90
  6. Step 6: Final answer
    x = 1,823.77

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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.