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Finding the Fourth Proportional to 18,421.32, 27,641.76 and 8,033.88

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Solution

The fourth proportional to 18,421.32, 27,641.76 and 8,033.88 is: 12,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421.32 : 27,641.76 = 8,033.88 : x
  2. Step 2: Convert to fraction form
    18,421.32/27,641.76 = 8,033.88/x
  3. Step 3: Cross multiply
    18,421.32x = 27,641.76 × 8,033.88
  4. Step 4: Simplify right side
    18,421.32x = 222,070,582.83
  5. Step 5: Solve for x
    x = 222,070,582.83/18,421.32
  6. Step 6: Final answer
    x = 12,055.09

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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.