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Finding the Fourth Proportional to 6,654.49, 9,972.86 and 3,145.43

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Solution

The fourth proportional to 6,654.49, 9,972.86 and 3,145.43 is: 4,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.49 : 9,972.86 = 3,145.43 : x
  2. Step 2: Convert to fraction form
    6,654.49/9,972.86 = 3,145.43/x
  3. Step 3: Cross multiply
    6,654.49x = 9,972.86 × 3,145.43
  4. Step 4: Simplify right side
    6,654.49x = 31,368,933.03
  5. Step 5: Solve for x
    x = 31,368,933.03/6,654.49
  6. Step 6: Final answer
    x = 4,713.95

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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.