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Finding the Fourth Proportional to 1,987.38, 2,998.44 and 1,981.94

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Solution

The fourth proportional to 1,987.38, 2,998.44 and 1,981.94 is: 2,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.38 : 2,998.44 = 1,981.94 : x
  2. Step 2: Convert to fraction form
    1,987.38/2,998.44 = 1,981.94/x
  3. Step 3: Cross multiply
    1,987.38x = 2,998.44 × 1,981.94
  4. Step 4: Simplify right side
    1,987.38x = 5,942,713.18
  5. Step 5: Solve for x
    x = 5,942,713.18/1,987.38
  6. Step 6: Final answer
    x = 2,990.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.