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Finding the Fourth Proportional to 1,914.96, 2,648.84 and 1,891.92

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Solution

The fourth proportional to 1,914.96, 2,648.84 and 1,891.92 is: 2,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.96 : 2,648.84 = 1,891.92 : x
  2. Step 2: Convert to fraction form
    1,914.96/2,648.84 = 1,891.92/x
  3. Step 3: Cross multiply
    1,914.96x = 2,648.84 × 1,891.92
  4. Step 4: Simplify right side
    1,914.96x = 5,011,393.37
  5. Step 5: Solve for x
    x = 5,011,393.37/1,914.96
  6. Step 6: Final answer
    x = 2,616.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.