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Finding the Fourth Proportional to 11,896, 16,416.48 and 7,180.29

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Solution

The fourth proportional to 11,896, 16,416.48 and 7,180.29 is: 9,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896 : 16,416.48 = 7,180.29 : x
  2. Step 2: Convert to fraction form
    11,896/16,416.48 = 7,180.29/x
  3. Step 3: Cross multiply
    11,896x = 16,416.48 × 7,180.29
  4. Step 4: Simplify right side
    11,896x = 117,875,005.10
  5. Step 5: Solve for x
    x = 117,875,005.10/11,896
  6. Step 6: Final answer
    x = 9,908.79

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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.