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Finding the Fourth Proportional to 7,148.44, 10,729.21 and 3,640.87

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Solution

The fourth proportional to 7,148.44, 10,729.21 and 3,640.87 is: 5,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.44 : 10,729.21 = 3,640.87 : x
  2. Step 2: Convert to fraction form
    7,148.44/10,729.21 = 3,640.87/x
  3. Step 3: Cross multiply
    7,148.44x = 10,729.21 × 3,640.87
  4. Step 4: Simplify right side
    7,148.44x = 39,063,658.81
  5. Step 5: Solve for x
    x = 39,063,658.81/7,148.44
  6. Step 6: Final answer
    x = 5,464.64

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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.