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Finding the Fourth Proportional to 11,906.13, 16,431 and 6,802.10

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Solution

The fourth proportional to 11,906.13, 16,431 and 6,802.10 is: 9,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.13 : 16,431 = 6,802.10 : x
  2. Step 2: Convert to fraction form
    11,906.13/16,431 = 6,802.10/x
  3. Step 3: Cross multiply
    11,906.13x = 16,431 × 6,802.10
  4. Step 4: Simplify right side
    11,906.13x = 111,765,305.10
  5. Step 5: Solve for x
    x = 111,765,305.10/11,906.13
  6. Step 6: Final answer
    x = 9,387.21

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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.