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Finding the Fourth Proportional to 11,906.21, 16,412.68 and 7,918.85

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Solution

The fourth proportional to 11,906.21, 16,412.68 and 7,918.85 is: 10,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.21 : 16,412.68 = 7,918.85 : x
  2. Step 2: Convert to fraction form
    11,906.21/16,412.68 = 7,918.85/x
  3. Step 3: Cross multiply
    11,906.21x = 16,412.68 × 7,918.85
  4. Step 4: Simplify right side
    11,906.21x = 129,969,551.02
  5. Step 5: Solve for x
    x = 129,969,551.02/11,906.21
  6. Step 6: Final answer
    x = 10,916.11

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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.