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Finding the Fourth Proportional to 3,981,742.16, 5,972,634.60 and 989,926.16

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Solution

The fourth proportional to 3,981,742.16, 5,972,634.60 and 989,926.16 is: 1,484,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,742.16 : 5,972,634.60 = 989,926.16 : x
  2. Step 2: Convert to fraction form
    3,981,742.16/5,972,634.60 = 989,926.16/x
  3. Step 3: Cross multiply
    3,981,742.16x = 5,972,634.60 × 989,926.16
  4. Step 4: Simplify right side
    3,981,742.16x = 5,912,467,234,661.14
  5. Step 5: Solve for x
    x = 5,912,467,234,661.14/3,981,742.16
  6. Step 6: Final answer
    x = 1,484,894.55

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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.