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Finding the Fourth Proportional to 19,722, 27,217.44 and 11,339.04

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Solution

The fourth proportional to 19,722, 27,217.44 and 11,339.04 is: 15,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722 : 27,217.44 = 11,339.04 : x
  2. Step 2: Convert to fraction form
    19,722/27,217.44 = 11,339.04/x
  3. Step 3: Cross multiply
    19,722x = 27,217.44 × 11,339.04
  4. Step 4: Simplify right side
    19,722x = 308,619,640.86
  5. Step 5: Solve for x
    x = 308,619,640.86/19,722
  6. Step 6: Final answer
    x = 15,648.50

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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.