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Finding the Fourth Proportional to 2,643.81, 3,983.38 and 2,393.97

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Solution

The fourth proportional to 2,643.81, 3,983.38 and 2,393.97 is: 3,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.81 : 3,983.38 = 2,393.97 : x
  2. Step 2: Convert to fraction form
    2,643.81/3,983.38 = 2,393.97/x
  3. Step 3: Cross multiply
    2,643.81x = 3,983.38 × 2,393.97
  4. Step 4: Simplify right side
    2,643.81x = 9,536,086.23
  5. Step 5: Solve for x
    x = 9,536,086.23/2,643.81
  6. Step 6: Final answer
    x = 3,606.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.