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Finding the Fourth Proportional to 5,685.50, 8,520.22 and 4,279

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Solution

The fourth proportional to 5,685.50, 8,520.22 and 4,279 is: 6,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.50 : 8,520.22 = 4,279 : x
  2. Step 2: Convert to fraction form
    5,685.50/8,520.22 = 4,279/x
  3. Step 3: Cross multiply
    5,685.50x = 8,520.22 × 4,279
  4. Step 4: Simplify right side
    5,685.50x = 36,458,021.38
  5. Step 5: Solve for x
    x = 36,458,021.38/5,685.50
  6. Step 6: Final answer
    x = 6,412.46

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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.