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Finding the Fourth Proportional to 5,285.88, 7,916.22 and 3,171.60

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Solution

The fourth proportional to 5,285.88, 7,916.22 and 3,171.60 is: 4,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.88 : 7,916.22 = 3,171.60 : x
  2. Step 2: Convert to fraction form
    5,285.88/7,916.22 = 3,171.60/x
  3. Step 3: Cross multiply
    5,285.88x = 7,916.22 × 3,171.60
  4. Step 4: Simplify right side
    5,285.88x = 25,107,083.35
  5. Step 5: Solve for x
    x = 25,107,083.35/5,285.88
  6. Step 6: Final answer
    x = 4,749.84

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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.