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Finding the Fourth Proportional to 9,640.95, 14,469.81 and 5,489.31

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Solution

The fourth proportional to 9,640.95, 14,469.81 and 5,489.31 is: 8,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.95 : 14,469.81 = 5,489.31 : x
  2. Step 2: Convert to fraction form
    9,640.95/14,469.81 = 5,489.31/x
  3. Step 3: Cross multiply
    9,640.95x = 14,469.81 × 5,489.31
  4. Step 4: Simplify right side
    9,640.95x = 79,429,272.73
  5. Step 5: Solve for x
    x = 79,429,272.73/9,640.95
  6. Step 6: Final answer
    x = 8,238.74

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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.