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Finding the Fourth Proportional to 2,783.27, 3,839.07 and 1,789.81

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Solution

The fourth proportional to 2,783.27, 3,839.07 and 1,789.81 is: 2,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.27 : 3,839.07 = 1,789.81 : x
  2. Step 2: Convert to fraction form
    2,783.27/3,839.07 = 1,789.81/x
  3. Step 3: Cross multiply
    2,783.27x = 3,839.07 × 1,789.81
  4. Step 4: Simplify right side
    2,783.27x = 6,871,204.60
  5. Step 5: Solve for x
    x = 6,871,204.60/2,783.27
  6. Step 6: Final answer
    x = 2,468.75

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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.