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Finding the Fourth Proportional to 7,778.96, 11,649.80 and 6,845.03

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Solution

The fourth proportional to 7,778.96, 11,649.80 and 6,845.03 is: 10,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.96 : 11,649.80 = 6,845.03 : x
  2. Step 2: Convert to fraction form
    7,778.96/11,649.80 = 6,845.03/x
  3. Step 3: Cross multiply
    7,778.96x = 11,649.80 × 6,845.03
  4. Step 4: Simplify right side
    7,778.96x = 79,743,189.36
  5. Step 5: Solve for x
    x = 79,743,189.36/7,778.96
  6. Step 6: Final answer
    x = 10,251.14

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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.