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Finding the Fourth Proportional to 6,643.89, 9,965.83 and 1,963.96

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Solution

The fourth proportional to 6,643.89, 9,965.83 and 1,963.96 is: 2,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.89 : 9,965.83 = 1,963.96 : x
  2. Step 2: Convert to fraction form
    6,643.89/9,965.83 = 1,963.96/x
  3. Step 3: Cross multiply
    6,643.89x = 9,965.83 × 1,963.96
  4. Step 4: Simplify right side
    6,643.89x = 19,572,486.58
  5. Step 5: Solve for x
    x = 19,572,486.58/6,643.89
  6. Step 6: Final answer
    x = 2,945.94

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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.