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Finding the Fourth Proportional to 2,899.22, 4,349.11 and 819.24

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Solution

The fourth proportional to 2,899.22, 4,349.11 and 819.24 is: 1,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.22 : 4,349.11 = 819.24 : x
  2. Step 2: Convert to fraction form
    2,899.22/4,349.11 = 819.24/x
  3. Step 3: Cross multiply
    2,899.22x = 4,349.11 × 819.24
  4. Step 4: Simplify right side
    2,899.22x = 3,562,963.74
  5. Step 5: Solve for x
    x = 3,562,963.74/2,899.22
  6. Step 6: Final answer
    x = 1,228.94

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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.