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Finding the Fourth Proportional to 7,817.22, 11,697.89 and 7,295.85

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Solution

The fourth proportional to 7,817.22, 11,697.89 and 7,295.85 is: 10,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.22 : 11,697.89 = 7,295.85 : x
  2. Step 2: Convert to fraction form
    7,817.22/11,697.89 = 7,295.85/x
  3. Step 3: Cross multiply
    7,817.22x = 11,697.89 × 7,295.85
  4. Step 4: Simplify right side
    7,817.22x = 85,346,014.28
  5. Step 5: Solve for x
    x = 85,346,014.28/7,817.22
  6. Step 6: Final answer
    x = 10,917.69

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1.5x scale

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.