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Finding the Fourth Proportional to 2,863.71, 4,295.97 and 783.81

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Solution

The fourth proportional to 2,863.71, 4,295.97 and 783.81 is: 1,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.71 : 4,295.97 = 783.81 : x
  2. Step 2: Convert to fraction form
    2,863.71/4,295.97 = 783.81/x
  3. Step 3: Cross multiply
    2,863.71x = 4,295.97 × 783.81
  4. Step 4: Simplify right side
    2,863.71x = 3,367,224.25
  5. Step 5: Solve for x
    x = 3,367,224.25/2,863.71
  6. Step 6: Final answer
    x = 1,175.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.