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Finding the Fourth Proportional to 6,389.38, 9,584.07 and 1,772.38

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Solution

The fourth proportional to 6,389.38, 9,584.07 and 1,772.38 is: 2,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.38 : 9,584.07 = 1,772.38 : x
  2. Step 2: Convert to fraction form
    6,389.38/9,584.07 = 1,772.38/x
  3. Step 3: Cross multiply
    6,389.38x = 9,584.07 × 1,772.38
  4. Step 4: Simplify right side
    6,389.38x = 16,986,557.20
  5. Step 5: Solve for x
    x = 16,986,557.20/6,389.38
  6. Step 6: Final answer
    x = 2,658.56

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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.