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Finding the Fourth Proportional to 18,523.92, 27,779.40 and 7,991.08

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Solution

The fourth proportional to 18,523.92, 27,779.40 and 7,991.08 is: 11,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.92 : 27,779.40 = 7,991.08 : x
  2. Step 2: Convert to fraction form
    18,523.92/27,779.40 = 7,991.08/x
  3. Step 3: Cross multiply
    18,523.92x = 27,779.40 × 7,991.08
  4. Step 4: Simplify right side
    18,523.92x = 221,987,407.75
  5. Step 5: Solve for x
    x = 221,987,407.75/18,523.92
  6. Step 6: Final answer
    x = 11,983.82

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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.