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Finding the Fourth Proportional to 5,180, 7,771.23 and 1,717.25

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Solution

The fourth proportional to 5,180, 7,771.23 and 1,717.25 is: 2,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,771.23 = 1,717.25 : x
  2. Step 2: Convert to fraction form
    5,180/7,771.23 = 1,717.25/x
  3. Step 3: Cross multiply
    5,180x = 7,771.23 × 1,717.25
  4. Step 4: Simplify right side
    5,180x = 13,345,144.72
  5. Step 5: Solve for x
    x = 13,345,144.72/5,180
  6. Step 6: Final answer
    x = 2,576.28

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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.