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Finding the Fourth Proportional to 9,758.31, 14,640.19 and 3,919.02

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Solution

The fourth proportional to 9,758.31, 14,640.19 and 3,919.02 is: 5,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.31 : 14,640.19 = 3,919.02 : x
  2. Step 2: Convert to fraction form
    9,758.31/14,640.19 = 3,919.02/x
  3. Step 3: Cross multiply
    9,758.31x = 14,640.19 × 3,919.02
  4. Step 4: Simplify right side
    9,758.31x = 57,375,197.41
  5. Step 5: Solve for x
    x = 57,375,197.41/9,758.31
  6. Step 6: Final answer
    x = 5,879.62

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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.