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Finding the Fourth Proportional to 2,578.87, 3,868.59 and 823.46

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Solution

The fourth proportional to 2,578.87, 3,868.59 and 823.46 is: 1,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.87 : 3,868.59 = 823.46 : x
  2. Step 2: Convert to fraction form
    2,578.87/3,868.59 = 823.46/x
  3. Step 3: Cross multiply
    2,578.87x = 3,868.59 × 823.46
  4. Step 4: Simplify right side
    2,578.87x = 3,185,629.12
  5. Step 5: Solve for x
    x = 3,185,629.12/2,578.87
  6. Step 6: Final answer
    x = 1,235.28

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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.