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Finding the Fourth Proportional to 6,446.49, 9,670.41 and 2,749.11

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Solution

The fourth proportional to 6,446.49, 9,670.41 and 2,749.11 is: 4,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.49 : 9,670.41 = 2,749.11 : x
  2. Step 2: Convert to fraction form
    6,446.49/9,670.41 = 2,749.11/x
  3. Step 3: Cross multiply
    6,446.49x = 9,670.41 × 2,749.11
  4. Step 4: Simplify right side
    6,446.49x = 26,585,020.84
  5. Step 5: Solve for x
    x = 26,585,020.84/6,446.49
  6. Step 6: Final answer
    x = 4,123.95

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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.