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Finding the Fourth Proportional to 8,911.82, 12,297.23 and 7,099.46

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Solution

The fourth proportional to 8,911.82, 12,297.23 and 7,099.46 is: 9,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.82 : 12,297.23 = 7,099.46 : x
  2. Step 2: Convert to fraction form
    8,911.82/12,297.23 = 7,099.46/x
  3. Step 3: Cross multiply
    8,911.82x = 12,297.23 × 7,099.46
  4. Step 4: Simplify right side
    8,911.82x = 87,303,613.70
  5. Step 5: Solve for x
    x = 87,303,613.70/8,911.82
  6. Step 6: Final answer
    x = 9,796.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.