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Finding the Fourth Proportional to 6,992,978.56, 9,649,936.04 and 3,853,144.78

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Solution

The fourth proportional to 6,992,978.56, 9,649,936.04 and 3,853,144.78 is: 5,317,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992,978.56 : 9,649,936.04 = 3,853,144.78 : x
  2. Step 2: Convert to fraction form
    6,992,978.56/9,649,936.04 = 3,853,144.78/x
  3. Step 3: Cross multiply
    6,992,978.56x = 9,649,936.04 × 3,853,144.78
  4. Step 4: Simplify right side
    6,992,978.56x = 37,182,600,679,859.87
  5. Step 5: Solve for x
    x = 37,182,600,679,859.87/6,992,978.56
  6. Step 6: Final answer
    x = 5,317,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.