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Finding the Fourth Proportional to 7,997.42, 11,935.05 and 7,122.62

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Solution

The fourth proportional to 7,997.42, 11,935.05 and 7,122.62 is: 10,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.42 : 11,935.05 = 7,122.62 : x
  2. Step 2: Convert to fraction form
    7,997.42/11,935.05 = 7,122.62/x
  3. Step 3: Cross multiply
    7,997.42x = 11,935.05 × 7,122.62
  4. Step 4: Simplify right side
    7,997.42x = 85,008,790.22
  5. Step 5: Solve for x
    x = 85,008,790.22/7,997.42
  6. Step 6: Final answer
    x = 10,629.53

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.