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Finding the Fourth Proportional to 11,838.60, 17,721.45 and 9,724.50

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Solution

The fourth proportional to 11,838.60, 17,721.45 and 9,724.50 is: 14,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.60 : 17,721.45 = 9,724.50 : x
  2. Step 2: Convert to fraction form
    11,838.60/17,721.45 = 9,724.50/x
  3. Step 3: Cross multiply
    11,838.60x = 17,721.45 × 9,724.50
  4. Step 4: Simplify right side
    11,838.60x = 172,332,240.53
  5. Step 5: Solve for x
    x = 172,332,240.53/11,838.60
  6. Step 6: Final answer
    x = 14,556.81

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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.