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Finding the Fourth Proportional to 7,717.80, 11,572.23 and 6,795.21

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Solution

The fourth proportional to 7,717.80, 11,572.23 and 6,795.21 is: 10,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.80 : 11,572.23 = 6,795.21 : x
  2. Step 2: Convert to fraction form
    7,717.80/11,572.23 = 6,795.21/x
  3. Step 3: Cross multiply
    7,717.80x = 11,572.23 × 6,795.21
  4. Step 4: Simplify right side
    7,717.80x = 78,635,733.02
  5. Step 5: Solve for x
    x = 78,635,733.02/7,717.80
  6. Step 6: Final answer
    x = 10,188.88

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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.