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Finding the Fourth Proportional to 5,564.78, 7,679.11 and 3,046.41

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Solution

The fourth proportional to 5,564.78, 7,679.11 and 3,046.41 is: 4,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.78 : 7,679.11 = 3,046.41 : x
  2. Step 2: Convert to fraction form
    5,564.78/7,679.11 = 3,046.41/x
  3. Step 3: Cross multiply
    5,564.78x = 7,679.11 × 3,046.41
  4. Step 4: Simplify right side
    5,564.78x = 23,393,702.26
  5. Step 5: Solve for x
    x = 23,393,702.26/5,564.78
  6. Step 6: Final answer
    x = 4,203.88

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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.