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Finding the Fourth Proportional to 20,041.76, 27,668.76 and 12,086

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Solution

The fourth proportional to 20,041.76, 27,668.76 and 12,086 is: 16,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.76 : 27,668.76 = 12,086 : x
  2. Step 2: Convert to fraction form
    20,041.76/27,668.76 = 12,086/x
  3. Step 3: Cross multiply
    20,041.76x = 27,668.76 × 12,086
  4. Step 4: Simplify right side
    20,041.76x = 334,404,633.36
  5. Step 5: Solve for x
    x = 334,404,633.36/20,041.76
  6. Step 6: Final answer
    x = 16,685.39

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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.