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Finding the Fourth Proportional to 10,728, 14,809.49 and 6,754.95

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Solution

The fourth proportional to 10,728, 14,809.49 and 6,754.95 is: 9,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 14,809.49 = 6,754.95 : x
  2. Step 2: Convert to fraction form
    10,728/14,809.49 = 6,754.95/x
  3. Step 3: Cross multiply
    10,728x = 14,809.49 × 6,754.95
  4. Step 4: Simplify right side
    10,728x = 100,037,330.70
  5. Step 5: Solve for x
    x = 100,037,330.70/10,728
  6. Step 6: Final answer
    x = 9,324.88

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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.