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Finding the Fourth Proportional to 21,092, 29,104.44 and 11,659.28

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Solution

The fourth proportional to 21,092, 29,104.44 and 11,659.28 is: 16,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092 : 29,104.44 = 11,659.28 : x
  2. Step 2: Convert to fraction form
    21,092/29,104.44 = 11,659.28/x
  3. Step 3: Cross multiply
    21,092x = 29,104.44 × 11,659.28
  4. Step 4: Simplify right side
    21,092x = 339,336,815.20
  5. Step 5: Solve for x
    x = 339,336,815.20/21,092
  6. Step 6: Final answer
    x = 16,088.41

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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.