Home / 1,578.12-2,366.33-1,022.78

Finding the Fourth Proportional to 1,578.12, 2,366.33 and 1,022.78

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Solution

The fourth proportional to 1,578.12, 2,366.33 and 1,022.78 is: 1,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.12 : 2,366.33 = 1,022.78 : x
  2. Step 2: Convert to fraction form
    1,578.12/2,366.33 = 1,022.78/x
  3. Step 3: Cross multiply
    1,578.12x = 2,366.33 × 1,022.78
  4. Step 4: Simplify right side
    1,578.12x = 2,420,218.05
  5. Step 5: Solve for x
    x = 2,420,218.05/1,578.12
  6. Step 6: Final answer
    x = 1,533.61

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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.