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Finding the Fourth Proportional to 5,414.54, 8,123.04 and 1,717

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Solution

The fourth proportional to 5,414.54, 8,123.04 and 1,717 is: 2,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.54 : 8,123.04 = 1,717 : x
  2. Step 2: Convert to fraction form
    5,414.54/8,123.04 = 1,717/x
  3. Step 3: Cross multiply
    5,414.54x = 8,123.04 × 1,717
  4. Step 4: Simplify right side
    5,414.54x = 13,947,259.68
  5. Step 5: Solve for x
    x = 13,947,259.68/5,414.54
  6. Step 6: Final answer
    x = 2,575.89

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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.