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Finding the Fourth Proportional to 11,940.76, 16,478.13 and 6,635.46

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Solution

The fourth proportional to 11,940.76, 16,478.13 and 6,635.46 is: 9,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.76 : 16,478.13 = 6,635.46 : x
  2. Step 2: Convert to fraction form
    11,940.76/16,478.13 = 6,635.46/x
  3. Step 3: Cross multiply
    11,940.76x = 16,478.13 × 6,635.46
  4. Step 4: Simplify right side
    11,940.76x = 109,339,972.49
  5. Step 5: Solve for x
    x = 109,339,972.49/11,940.76
  6. Step 6: Final answer
    x = 9,156.87

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1.5x scale

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.