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Finding the Fourth Proportional to 7,872.90, 11,809.96 and 3,190.68

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Solution

The fourth proportional to 7,872.90, 11,809.96 and 3,190.68 is: 4,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.90 : 11,809.96 = 3,190.68 : x
  2. Step 2: Convert to fraction form
    7,872.90/11,809.96 = 3,190.68/x
  3. Step 3: Cross multiply
    7,872.90x = 11,809.96 × 3,190.68
  4. Step 4: Simplify right side
    7,872.90x = 37,681,803.17
  5. Step 5: Solve for x
    x = 37,681,803.17/7,872.90
  6. Step 6: Final answer
    x = 4,786.27

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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.