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Finding the Fourth Proportional to 20,039.76, 27,666 and 12,084

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Solution

The fourth proportional to 20,039.76, 27,666 and 12,084 is: 16,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.76 : 27,666 = 12,084 : x
  2. Step 2: Convert to fraction form
    20,039.76/27,666 = 12,084/x
  3. Step 3: Cross multiply
    20,039.76x = 27,666 × 12,084
  4. Step 4: Simplify right side
    20,039.76x = 334,315,944
  5. Step 5: Solve for x
    x = 334,315,944/20,039.76
  6. Step 6: Final answer
    x = 16,682.63

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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.