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Finding the Fourth Proportional to 4,739.65, 7,115.63 and 3,644.78

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Solution

The fourth proportional to 4,739.65, 7,115.63 and 3,644.78 is: 5,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.65 : 7,115.63 = 3,644.78 : x
  2. Step 2: Convert to fraction form
    4,739.65/7,115.63 = 3,644.78/x
  3. Step 3: Cross multiply
    4,739.65x = 7,115.63 × 3,644.78
  4. Step 4: Simplify right side
    4,739.65x = 25,934,912.64
  5. Step 5: Solve for x
    x = 25,934,912.64/4,739.65
  6. Step 6: Final answer
    x = 5,471.91

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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.