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Finding the Fourth Proportional to 1,981,971.54, 2,972,974.83 and 783,894

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Solution

The fourth proportional to 1,981,971.54, 2,972,974.83 and 783,894 is: 1,175,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981,971.54 : 2,972,974.83 = 783,894 : x
  2. Step 2: Convert to fraction form
    1,981,971.54/2,972,974.83 = 783,894/x
  3. Step 3: Cross multiply
    1,981,971.54x = 2,972,974.83 × 783,894
  4. Step 4: Simplify right side
    1,981,971.54x = 2,330,497,131,388.02
  5. Step 5: Solve for x
    x = 2,330,497,131,388.02/1,981,971.54
  6. Step 6: Final answer
    x = 1,175,847.93

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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.