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Finding the Fourth Proportional to 11,684.92, 16,122.86 and 6,649.14

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Solution

The fourth proportional to 11,684.92, 16,122.86 and 6,649.14 is: 9,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.92 : 16,122.86 = 6,649.14 : x
  2. Step 2: Convert to fraction form
    11,684.92/16,122.86 = 6,649.14/x
  3. Step 3: Cross multiply
    11,684.92x = 16,122.86 × 6,649.14
  4. Step 4: Simplify right side
    11,684.92x = 107,203,153.34
  5. Step 5: Solve for x
    x = 107,203,153.34/11,684.92
  6. Step 6: Final answer
    x = 9,174.49

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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.