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Finding the Fourth Proportional to 1,891.96, 2,838.85 and 1,426.46

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Solution

The fourth proportional to 1,891.96, 2,838.85 and 1,426.46 is: 2,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.96 : 2,838.85 = 1,426.46 : x
  2. Step 2: Convert to fraction form
    1,891.96/2,838.85 = 1,426.46/x
  3. Step 3: Cross multiply
    1,891.96x = 2,838.85 × 1,426.46
  4. Step 4: Simplify right side
    1,891.96x = 4,049,505.97
  5. Step 5: Solve for x
    x = 4,049,505.97/1,891.96
  6. Step 6: Final answer
    x = 2,140.38

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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.