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Finding the Fourth Proportional to 19,670, 27,144.60 and 10,838

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Solution

The fourth proportional to 19,670, 27,144.60 and 10,838 is: 14,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670 : 27,144.60 = 10,838 : x
  2. Step 2: Convert to fraction form
    19,670/27,144.60 = 10,838/x
  3. Step 3: Cross multiply
    19,670x = 27,144.60 × 10,838
  4. Step 4: Simplify right side
    19,670x = 294,193,174.80
  5. Step 5: Solve for x
    x = 294,193,174.80/19,670
  6. Step 6: Final answer
    x = 14,956.44

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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.