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Finding the Fourth Proportional to 20,997, 28,975.86 and 11,565.77

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Solution

The fourth proportional to 20,997, 28,975.86 and 11,565.77 is: 15,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 28,975.86 = 11,565.77 : x
  2. Step 2: Convert to fraction form
    20,997/28,975.86 = 11,565.77/x
  3. Step 3: Cross multiply
    20,997x = 28,975.86 × 11,565.77
  4. Step 4: Simplify right side
    20,997x = 335,127,987.43
  5. Step 5: Solve for x
    x = 335,127,987.43/20,997
  6. Step 6: Final answer
    x = 15,960.76

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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.