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Finding the Fourth Proportional to 5,450.47, 7,527.78 and 3,679

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Solution

The fourth proportional to 5,450.47, 7,527.78 and 3,679 is: 5,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.47 : 7,527.78 = 3,679 : x
  2. Step 2: Convert to fraction form
    5,450.47/7,527.78 = 3,679/x
  3. Step 3: Cross multiply
    5,450.47x = 7,527.78 × 3,679
  4. Step 4: Simplify right side
    5,450.47x = 27,694,702.62
  5. Step 5: Solve for x
    x = 27,694,702.62/5,450.47
  6. Step 6: Final answer
    x = 5,081.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.