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Finding the Fourth Proportional to 7,797, 11,695.68 and 3,180

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Solution

The fourth proportional to 7,797, 11,695.68 and 3,180 is: 4,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 11,695.68 = 3,180 : x
  2. Step 2: Convert to fraction form
    7,797/11,695.68 = 3,180/x
  3. Step 3: Cross multiply
    7,797x = 11,695.68 × 3,180
  4. Step 4: Simplify right side
    7,797x = 37,192,262.40
  5. Step 5: Solve for x
    x = 37,192,262.40/7,797
  6. Step 6: Final answer
    x = 4,770.07

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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.