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Finding the Fourth Proportional to 9,966, 13,753.70 and 5,489.75

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Solution

The fourth proportional to 9,966, 13,753.70 and 5,489.75 is: 7,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 13,753.70 = 5,489.75 : x
  2. Step 2: Convert to fraction form
    9,966/13,753.70 = 5,489.75/x
  3. Step 3: Cross multiply
    9,966x = 13,753.70 × 5,489.75
  4. Step 4: Simplify right side
    9,966x = 75,504,422.68
  5. Step 5: Solve for x
    x = 75,504,422.68/9,966
  6. Step 6: Final answer
    x = 7,576.20

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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.