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Finding the Fourth Proportional to 1,921.44, 2,878.02 and 1,591.36

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Solution

The fourth proportional to 1,921.44, 2,878.02 and 1,591.36 is: 2,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.44 : 2,878.02 = 1,591.36 : x
  2. Step 2: Convert to fraction form
    1,921.44/2,878.02 = 1,591.36/x
  3. Step 3: Cross multiply
    1,921.44x = 2,878.02 × 1,591.36
  4. Step 4: Simplify right side
    1,921.44x = 4,579,965.91
  5. Step 5: Solve for x
    x = 4,579,965.91/1,921.44
  6. Step 6: Final answer
    x = 2,383.61

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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.