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Finding the Fourth Proportional to 10,808.88, 16,215.44 and 3,414

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Solution

The fourth proportional to 10,808.88, 16,215.44 and 3,414 is: 5,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.88 : 16,215.44 = 3,414 : x
  2. Step 2: Convert to fraction form
    10,808.88/16,215.44 = 3,414/x
  3. Step 3: Cross multiply
    10,808.88x = 16,215.44 × 3,414
  4. Step 4: Simplify right side
    10,808.88x = 55,359,512.16
  5. Step 5: Solve for x
    x = 55,359,512.16/10,808.88
  6. Step 6: Final answer
    x = 5,121.67

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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.