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Finding the Fourth Proportional to 11,898.72, 17,838 and 7,272

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Solution

The fourth proportional to 11,898.72, 17,838 and 7,272 is: 10,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.72 : 17,838 = 7,272 : x
  2. Step 2: Convert to fraction form
    11,898.72/17,838 = 7,272/x
  3. Step 3: Cross multiply
    11,898.72x = 17,838 × 7,272
  4. Step 4: Simplify right side
    11,898.72x = 129,717,936
  5. Step 5: Solve for x
    x = 129,717,936/11,898.72
  6. Step 6: Final answer
    x = 10,901.84

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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.