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Finding the Fourth Proportional to 11,897.28, 17,832.96 and 7,992

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Solution

The fourth proportional to 11,897.28, 17,832.96 and 7,992 is: 11,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.28 : 17,832.96 = 7,992 : x
  2. Step 2: Convert to fraction form
    11,897.28/17,832.96 = 7,992/x
  3. Step 3: Cross multiply
    11,897.28x = 17,832.96 × 7,992
  4. Step 4: Simplify right side
    11,897.28x = 142,521,016.32
  5. Step 5: Solve for x
    x = 142,521,016.32/11,897.28
  6. Step 6: Final answer
    x = 11,979.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.