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Finding the Fourth Proportional to 9,961, 13,747.14 and 5,545

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Solution

The fourth proportional to 9,961, 13,747.14 and 5,545 is: 7,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961 : 13,747.14 = 5,545 : x
  2. Step 2: Convert to fraction form
    9,961/13,747.14 = 5,545/x
  3. Step 3: Cross multiply
    9,961x = 13,747.14 × 5,545
  4. Step 4: Simplify right side
    9,961x = 76,227,891.30
  5. Step 5: Solve for x
    x = 76,227,891.30/9,961
  6. Step 6: Final answer
    x = 7,652.63

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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.