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Finding the Fourth Proportional to 7,796.72, 11,699.40 and 5,720.96

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Solution

The fourth proportional to 7,796.72, 11,699.40 and 5,720.96 is: 8,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.72 : 11,699.40 = 5,720.96 : x
  2. Step 2: Convert to fraction form
    7,796.72/11,699.40 = 5,720.96/x
  3. Step 3: Cross multiply
    7,796.72x = 11,699.40 × 5,720.96
  4. Step 4: Simplify right side
    7,796.72x = 66,931,799.42
  5. Step 5: Solve for x
    x = 66,931,799.42/7,796.72
  6. Step 6: Final answer
    x = 8,584.61

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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.