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Finding the Fourth Proportional to 19,879.92, 27,434.28 and 10,928

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Solution

The fourth proportional to 19,879.92, 27,434.28 and 10,928 is: 15,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.92 : 27,434.28 = 10,928 : x
  2. Step 2: Convert to fraction form
    19,879.92/27,434.28 = 10,928/x
  3. Step 3: Cross multiply
    19,879.92x = 27,434.28 × 10,928
  4. Step 4: Simplify right side
    19,879.92x = 299,801,811.84
  5. Step 5: Solve for x
    x = 299,801,811.84/19,879.92
  6. Step 6: Final answer
    x = 15,080.63

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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.