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Finding the Fourth Proportional to 2,578.43, 3,867.28 and 823.64

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Solution

The fourth proportional to 2,578.43, 3,867.28 and 823.64 is: 1,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.43 : 3,867.28 = 823.64 : x
  2. Step 2: Convert to fraction form
    2,578.43/3,867.28 = 823.64/x
  3. Step 3: Cross multiply
    2,578.43x = 3,867.28 × 823.64
  4. Step 4: Simplify right side
    2,578.43x = 3,185,225.10
  5. Step 5: Solve for x
    x = 3,185,225.10/2,578.43
  6. Step 6: Final answer
    x = 1,235.33

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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.