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Finding the Fourth Proportional to 28,992, 40,009.20 and 15,744

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Solution

The fourth proportional to 28,992, 40,009.20 and 15,744 is: 21,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,992 : 40,009.20 = 15,744 : x
  2. Step 2: Convert to fraction form
    28,992/40,009.20 = 15,744/x
  3. Step 3: Cross multiply
    28,992x = 40,009.20 × 15,744
  4. Step 4: Simplify right side
    28,992x = 629,904,844.80
  5. Step 5: Solve for x
    x = 629,904,844.80/28,992
  6. Step 6: Final answer
    x = 21,726.85

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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.