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Finding the Fourth Proportional to 2,578.66, 3,868.32 and 823.09

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Solution

The fourth proportional to 2,578.66, 3,868.32 and 823.09 is: 1,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.66 : 3,868.32 = 823.09 : x
  2. Step 2: Convert to fraction form
    2,578.66/3,868.32 = 823.09/x
  3. Step 3: Cross multiply
    2,578.66x = 3,868.32 × 823.09
  4. Step 4: Simplify right side
    2,578.66x = 3,183,975.51
  5. Step 5: Solve for x
    x = 3,183,975.51/2,578.66
  6. Step 6: Final answer
    x = 1,234.74

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1.5x scale

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.