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Finding the Fourth Proportional to 6,665.88, 9,996 and 2,965.56

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Solution

The fourth proportional to 6,665.88, 9,996 and 2,965.56 is: 4,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.88 : 9,996 = 2,965.56 : x
  2. Step 2: Convert to fraction form
    6,665.88/9,996 = 2,965.56/x
  3. Step 3: Cross multiply
    6,665.88x = 9,996 × 2,965.56
  4. Step 4: Simplify right side
    6,665.88x = 29,643,737.76
  5. Step 5: Solve for x
    x = 29,643,737.76/6,665.88
  6. Step 6: Final answer
    x = 4,447.09

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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.