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Finding the Fourth Proportional to 3,978,691.07, 5,969,201.16 and 1,282,962.06

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Solution

The fourth proportional to 3,978,691.07, 5,969,201.16 and 1,282,962.06 is: 1,924,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,691.07 : 5,969,201.16 = 1,282,962.06 : x
  2. Step 2: Convert to fraction form
    3,978,691.07/5,969,201.16 = 1,282,962.06/x
  3. Step 3: Cross multiply
    3,978,691.07x = 5,969,201.16 × 1,282,962.06
  4. Step 4: Simplify right side
    3,978,691.07x = 7,658,258,616,787.99
  5. Step 5: Solve for x
    x = 7,658,258,616,787.99/3,978,691.07
  6. Step 6: Final answer
    x = 1,924,818.61

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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.