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Finding the Fourth Proportional to 6,446.82, 9,672.12 and 3,160.11

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Solution

The fourth proportional to 6,446.82, 9,672.12 and 3,160.11 is: 4,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.82 : 9,672.12 = 3,160.11 : x
  2. Step 2: Convert to fraction form
    6,446.82/9,672.12 = 3,160.11/x
  3. Step 3: Cross multiply
    6,446.82x = 9,672.12 × 3,160.11
  4. Step 4: Simplify right side
    6,446.82x = 30,564,963.13
  5. Step 5: Solve for x
    x = 30,564,963.13/6,446.82
  6. Step 6: Final answer
    x = 4,741.09

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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.