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Finding the Fourth Proportional to 5,564.88, 7,679.54 and 3,469

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Solution

The fourth proportional to 5,564.88, 7,679.54 and 3,469 is: 4,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.88 : 7,679.54 = 3,469 : x
  2. Step 2: Convert to fraction form
    5,564.88/7,679.54 = 3,469/x
  3. Step 3: Cross multiply
    5,564.88x = 7,679.54 × 3,469
  4. Step 4: Simplify right side
    5,564.88x = 26,640,324.26
  5. Step 5: Solve for x
    x = 26,640,324.26/5,564.88
  6. Step 6: Final answer
    x = 4,787.22

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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.