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Finding the Fourth Proportional to 11,987.92, 16,528.62 and 9,856

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Solution

The fourth proportional to 11,987.92, 16,528.62 and 9,856 is: 13,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.92 : 16,528.62 = 9,856 : x
  2. Step 2: Convert to fraction form
    11,987.92/16,528.62 = 9,856/x
  3. Step 3: Cross multiply
    11,987.92x = 16,528.62 × 9,856
  4. Step 4: Simplify right side
    11,987.92x = 162,906,078.72
  5. Step 5: Solve for x
    x = 162,906,078.72/11,987.92
  6. Step 6: Final answer
    x = 13,589.19

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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.