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Finding the Fourth Proportional to 19,785.96, 27,293.22 and 12,321

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Solution

The fourth proportional to 19,785.96, 27,293.22 and 12,321 is: 16,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.96 : 27,293.22 = 12,321 : x
  2. Step 2: Convert to fraction form
    19,785.96/27,293.22 = 12,321/x
  3. Step 3: Cross multiply
    19,785.96x = 27,293.22 × 12,321
  4. Step 4: Simplify right side
    19,785.96x = 336,279,763.62
  5. Step 5: Solve for x
    x = 336,279,763.62/19,785.96
  6. Step 6: Final answer
    x = 16,995.88

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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.