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Finding the Fourth Proportional to 2,873.07, 4,310.07 and 1,229.64

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Solution

The fourth proportional to 2,873.07, 4,310.07 and 1,229.64 is: 1,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.07 : 4,310.07 = 1,229.64 : x
  2. Step 2: Convert to fraction form
    2,873.07/4,310.07 = 1,229.64/x
  3. Step 3: Cross multiply
    2,873.07x = 4,310.07 × 1,229.64
  4. Step 4: Simplify right side
    2,873.07x = 5,299,834.47
  5. Step 5: Solve for x
    x = 5,299,834.47/2,873.07
  6. Step 6: Final answer
    x = 1,844.66

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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.