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Finding the Fourth Proportional to 10,960, 16,440.09 and 3,168.88

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Solution

The fourth proportional to 10,960, 16,440.09 and 3,168.88 is: 4,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960 : 16,440.09 = 3,168.88 : x
  2. Step 2: Convert to fraction form
    10,960/16,440.09 = 3,168.88/x
  3. Step 3: Cross multiply
    10,960x = 16,440.09 × 3,168.88
  4. Step 4: Simplify right side
    10,960x = 52,096,672.40
  5. Step 5: Solve for x
    x = 52,096,672.40/10,960
  6. Step 6: Final answer
    x = 4,753.35

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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.