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Finding the Fourth Proportional to 11,901, 17,851.62 and 4,879.22

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Solution

The fourth proportional to 11,901, 17,851.62 and 4,879.22 is: 7,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 17,851.62 = 4,879.22 : x
  2. Step 2: Convert to fraction form
    11,901/17,851.62 = 4,879.22/x
  3. Step 3: Cross multiply
    11,901x = 17,851.62 × 4,879.22
  4. Step 4: Simplify right side
    11,901x = 87,101,981.34
  5. Step 5: Solve for x
    x = 87,101,981.34/11,901
  6. Step 6: Final answer
    x = 7,318.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.