Home / 11,711.36-16,165.44-7,736

Finding the Fourth Proportional to 11,711.36, 16,165.44 and 7,736

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Solution

The fourth proportional to 11,711.36, 16,165.44 and 7,736 is: 10,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.36 : 16,165.44 = 7,736 : x
  2. Step 2: Convert to fraction form
    11,711.36/16,165.44 = 7,736/x
  3. Step 3: Cross multiply
    11,711.36x = 16,165.44 × 7,736
  4. Step 4: Simplify right side
    11,711.36x = 125,055,843.84
  5. Step 5: Solve for x
    x = 125,055,843.84/11,711.36
  6. Step 6: Final answer
    x = 10,678.17

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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.