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Finding the Fourth Proportional to 18,550.22, 27,835.92 and 7,875.77

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Solution

The fourth proportional to 18,550.22, 27,835.92 and 7,875.77 is: 11,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,550.22 : 27,835.92 = 7,875.77 : x
  2. Step 2: Convert to fraction form
    18,550.22/27,835.92 = 7,875.77/x
  3. Step 3: Cross multiply
    18,550.22x = 27,835.92 × 7,875.77
  4. Step 4: Simplify right side
    18,550.22x = 219,229,164.48
  5. Step 5: Solve for x
    x = 219,229,164.48/18,550.22
  6. Step 6: Final answer
    x = 11,818.15

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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.