Home / 1,928.26-2,889.12-1,377.64

Finding the Fourth Proportional to 1,928.26, 2,889.12 and 1,377.64

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Solution

The fourth proportional to 1,928.26, 2,889.12 and 1,377.64 is: 2,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.26 : 2,889.12 = 1,377.64 : x
  2. Step 2: Convert to fraction form
    1,928.26/2,889.12 = 1,377.64/x
  3. Step 3: Cross multiply
    1,928.26x = 2,889.12 × 1,377.64
  4. Step 4: Simplify right side
    1,928.26x = 3,980,167.28
  5. Step 5: Solve for x
    x = 3,980,167.28/1,928.26
  6. Step 6: Final answer
    x = 2,064.12

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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.