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Finding the Fourth Proportional to 1,891.05, 2,825.38 and 1,826.47

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Solution

The fourth proportional to 1,891.05, 2,825.38 and 1,826.47 is: 2,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.05 : 2,825.38 = 1,826.47 : x
  2. Step 2: Convert to fraction form
    1,891.05/2,825.38 = 1,826.47/x
  3. Step 3: Cross multiply
    1,891.05x = 2,825.38 × 1,826.47
  4. Step 4: Simplify right side
    1,891.05x = 5,160,471.81
  5. Step 5: Solve for x
    x = 5,160,471.81/1,891.05
  6. Step 6: Final answer
    x = 2,728.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.