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Finding the Fourth Proportional to 3,978,297.90, 5,976,304.20 and 3,816,897.30

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Solution

The fourth proportional to 3,978,297.90, 5,976,304.20 and 3,816,897.30 is: 5,733,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,297.90 : 5,976,304.20 = 3,816,897.30 : x
  2. Step 2: Convert to fraction form
    3,978,297.90/5,976,304.20 = 3,816,897.30/x
  3. Step 3: Cross multiply
    3,978,297.90x = 5,976,304.20 × 3,816,897.30
  4. Step 4: Simplify right side
    3,978,297.90x = 22,810,939,364,958.66
  5. Step 5: Solve for x
    x = 22,810,939,364,958.66/3,978,297.90
  6. Step 6: Final answer
    x = 5,733,843.95

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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.