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Finding the Fourth Proportional to 2,899.13, 4,349.53 and 819.15

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Solution

The fourth proportional to 2,899.13, 4,349.53 and 819.15 is: 1,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.13 : 4,349.53 = 819.15 : x
  2. Step 2: Convert to fraction form
    2,899.13/4,349.53 = 819.15/x
  3. Step 3: Cross multiply
    2,899.13x = 4,349.53 × 819.15
  4. Step 4: Simplify right side
    2,899.13x = 3,562,902.21
  5. Step 5: Solve for x
    x = 3,562,902.21/2,899.13
  6. Step 6: Final answer
    x = 1,228.96

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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.