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Finding the Fourth Proportional to 2,812.66, 4,185.77 and 2,719.22

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Solution

The fourth proportional to 2,812.66, 4,185.77 and 2,719.22 is: 4,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.66 : 4,185.77 = 2,719.22 : x
  2. Step 2: Convert to fraction form
    2,812.66/4,185.77 = 2,719.22/x
  3. Step 3: Cross multiply
    2,812.66x = 4,185.77 × 2,719.22
  4. Step 4: Simplify right side
    2,812.66x = 11,382,029.50
  5. Step 5: Solve for x
    x = 11,382,029.50/2,812.66
  6. Step 6: Final answer
    x = 4,046.71

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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.