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Finding the Fourth Proportional to 2,891.22, 4,309 and 2,867.08

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Solution

The fourth proportional to 2,891.22, 4,309 and 2,867.08 is: 4,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.22 : 4,309 = 2,867.08 : x
  2. Step 2: Convert to fraction form
    2,891.22/4,309 = 2,867.08/x
  3. Step 3: Cross multiply
    2,891.22x = 4,309 × 2,867.08
  4. Step 4: Simplify right side
    2,891.22x = 12,354,247.72
  5. Step 5: Solve for x
    x = 12,354,247.72/2,891.22
  6. Step 6: Final answer
    x = 4,273.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.