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Finding the Fourth Proportional to 1,987.51, 2,737.22 and 1,944.46

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Solution

The fourth proportional to 1,987.51, 2,737.22 and 1,944.46 is: 2,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.51 : 2,737.22 = 1,944.46 : x
  2. Step 2: Convert to fraction form
    1,987.51/2,737.22 = 1,944.46/x
  3. Step 3: Cross multiply
    1,987.51x = 2,737.22 × 1,944.46
  4. Step 4: Simplify right side
    1,987.51x = 5,322,414.80
  5. Step 5: Solve for x
    x = 5,322,414.80/1,987.51
  6. Step 6: Final answer
    x = 2,677.93

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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.