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Finding the Fourth Proportional to 2,811.97, 3,880.81 and 2,026.47

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Solution

The fourth proportional to 2,811.97, 3,880.81 and 2,026.47 is: 2,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.97 : 3,880.81 = 2,026.47 : x
  2. Step 2: Convert to fraction form
    2,811.97/3,880.81 = 2,026.47/x
  3. Step 3: Cross multiply
    2,811.97x = 3,880.81 × 2,026.47
  4. Step 4: Simplify right side
    2,811.97x = 7,864,345.04
  5. Step 5: Solve for x
    x = 7,864,345.04/2,811.97
  6. Step 6: Final answer
    x = 2,796.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.