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Finding the Fourth Proportional to 9,768,949.68, 13,481,978.28 and 5,419,437.21

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Solution

The fourth proportional to 9,768,949.68, 13,481,978.28 and 5,419,437.21 is: 7,479,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,949.68 : 13,481,978.28 = 5,419,437.21 : x
  2. Step 2: Convert to fraction form
    9,768,949.68/13,481,978.28 = 5,419,437.21/x
  3. Step 3: Cross multiply
    9,768,949.68x = 13,481,978.28 × 5,419,437.21
  4. Step 4: Simplify right side
    9,768,949.68x = 73,064,734,755,043.80
  5. Step 5: Solve for x
    x = 73,064,734,755,043.80/9,768,949.68
  6. Step 6: Final answer
    x = 7,479,282.54

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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.