Home / 1,928.12-2,896.07-1,149.64

Finding the Fourth Proportional to 1,928.12, 2,896.07 and 1,149.64

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Solution

The fourth proportional to 1,928.12, 2,896.07 and 1,149.64 is: 1,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.12 : 2,896.07 = 1,149.64 : x
  2. Step 2: Convert to fraction form
    1,928.12/2,896.07 = 1,149.64/x
  3. Step 3: Cross multiply
    1,928.12x = 2,896.07 × 1,149.64
  4. Step 4: Simplify right side
    1,928.12x = 3,329,437.91
  5. Step 5: Solve for x
    x = 3,329,437.91/1,928.12
  6. Step 6: Final answer
    x = 1,726.78

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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.