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Finding the Fourth Proportional to 3,287.62, 4,931.22 and 1,438.52

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Solution

The fourth proportional to 3,287.62, 4,931.22 and 1,438.52 is: 2,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.62 : 4,931.22 = 1,438.52 : x
  2. Step 2: Convert to fraction form
    3,287.62/4,931.22 = 1,438.52/x
  3. Step 3: Cross multiply
    3,287.62x = 4,931.22 × 1,438.52
  4. Step 4: Simplify right side
    3,287.62x = 7,093,658.59
  5. Step 5: Solve for x
    x = 7,093,658.59/3,287.62
  6. Step 6: Final answer
    x = 2,157.69

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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.