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Finding the Fourth Proportional to 13,808, 20,660.16 and 8,589.44

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Solution

The fourth proportional to 13,808, 20,660.16 and 8,589.44 is: 12,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808 : 20,660.16 = 8,589.44 : x
  2. Step 2: Convert to fraction form
    13,808/20,660.16 = 8,589.44/x
  3. Step 3: Cross multiply
    13,808x = 20,660.16 × 8,589.44
  4. Step 4: Simplify right side
    13,808x = 177,459,204.71
  5. Step 5: Solve for x
    x = 177,459,204.71/13,808
  6. Step 6: Final answer
    x = 12,851.91

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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.