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Finding the Fourth Proportional to 6,649,529.82, 9,974,294.74 and 5,135,421.20

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Solution

The fourth proportional to 6,649,529.82, 9,974,294.74 and 5,135,421.20 is: 7,703,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,529.82 : 9,974,294.74 = 5,135,421.20 : x
  2. Step 2: Convert to fraction form
    6,649,529.82/9,974,294.74 = 5,135,421.20/x
  3. Step 3: Cross multiply
    6,649,529.82x = 9,974,294.74 × 5,135,421.20
  4. Step 4: Simplify right side
    6,649,529.82x = 51,222,204,662,844.49
  5. Step 5: Solve for x
    x = 51,222,204,662,844.49/6,649,529.82
  6. Step 6: Final answer
    x = 7,703,131.81

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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.