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Finding the Fourth Proportional to 12,906.11, 19,358.76 and 7,099.22

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Solution

The fourth proportional to 12,906.11, 19,358.76 and 7,099.22 is: 10,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.11 : 19,358.76 = 7,099.22 : x
  2. Step 2: Convert to fraction form
    12,906.11/19,358.76 = 7,099.22/x
  3. Step 3: Cross multiply
    12,906.11x = 19,358.76 × 7,099.22
  4. Step 4: Simplify right side
    12,906.11x = 137,432,096.17
  5. Step 5: Solve for x
    x = 137,432,096.17/12,906.11
  6. Step 6: Final answer
    x = 10,648.61

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Similar ratio
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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.