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Finding the Fourth Proportional to 5,152.24, 7,728.96 and 3,861.91

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Solution

The fourth proportional to 5,152.24, 7,728.96 and 3,861.91 is: 5,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.24 : 7,728.96 = 3,861.91 : x
  2. Step 2: Convert to fraction form
    5,152.24/7,728.96 = 3,861.91/x
  3. Step 3: Cross multiply
    5,152.24x = 7,728.96 × 3,861.91
  4. Step 4: Simplify right side
    5,152.24x = 29,848,509.27
  5. Step 5: Solve for x
    x = 29,848,509.27/5,152.24
  6. Step 6: Final answer
    x = 5,793.31

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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.