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Finding the Fourth Proportional to 5,551.76, 7,661.42 and 3,193.91

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Solution

The fourth proportional to 5,551.76, 7,661.42 and 3,193.91 is: 4,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.76 : 7,661.42 = 3,193.91 : x
  2. Step 2: Convert to fraction form
    5,551.76/7,661.42 = 3,193.91/x
  3. Step 3: Cross multiply
    5,551.76x = 7,661.42 × 3,193.91
  4. Step 4: Simplify right side
    5,551.76x = 24,469,855.63
  5. Step 5: Solve for x
    x = 24,469,855.63/5,551.76
  6. Step 6: Final answer
    x = 4,407.58

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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.