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Finding the Fourth Proportional to 3,978,384.87, 5,967,618.89 and 3,184,711.77

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Solution

The fourth proportional to 3,978,384.87, 5,967,618.89 and 3,184,711.77 is: 4,777,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,384.87 : 5,967,618.89 = 3,184,711.77 : x
  2. Step 2: Convert to fraction form
    3,978,384.87/5,967,618.89 = 3,184,711.77/x
  3. Step 3: Cross multiply
    3,978,384.87x = 5,967,618.89 × 3,184,711.77
  4. Step 4: Simplify right side
    3,978,384.87x = 19,005,146,101,933.78
  5. Step 5: Solve for x
    x = 19,005,146,101,933.78/3,978,384.87
  6. Step 6: Final answer
    x = 4,777,100.94

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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.