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Finding the Fourth Proportional to 20,912, 28,861.12 and 12,080

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Solution

The fourth proportional to 20,912, 28,861.12 and 12,080 is: 16,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912 : 28,861.12 = 12,080 : x
  2. Step 2: Convert to fraction form
    20,912/28,861.12 = 12,080/x
  3. Step 3: Cross multiply
    20,912x = 28,861.12 × 12,080
  4. Step 4: Simplify right side
    20,912x = 348,642,329.60
  5. Step 5: Solve for x
    x = 348,642,329.60/20,912
  6. Step 6: Final answer
    x = 16,671.88

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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.