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Finding the Fourth Proportional to 3,978,694.08, 5,969,205.68 and 1,282,965.08

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Solution

The fourth proportional to 3,978,694.08, 5,969,205.68 and 1,282,965.08 is: 1,924,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,694.08 : 5,969,205.68 = 1,282,965.08 : x
  2. Step 2: Convert to fraction form
    3,978,694.08/5,969,205.68 = 1,282,965.08/x
  3. Step 3: Cross multiply
    3,978,694.08x = 5,969,205.68 × 1,282,965.08
  4. Step 4: Simplify right side
    3,978,694.08x = 7,658,282,406,516.80
  5. Step 5: Solve for x
    x = 7,658,282,406,516.80/3,978,694.08
  6. Step 6: Final answer
    x = 1,924,823.13

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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.