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Finding the Fourth Proportional to 10,640.72, 15,963.08 and 3,245.84

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Solution

The fourth proportional to 10,640.72, 15,963.08 and 3,245.84 is: 4,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.72 : 15,963.08 = 3,245.84 : x
  2. Step 2: Convert to fraction form
    10,640.72/15,963.08 = 3,245.84/x
  3. Step 3: Cross multiply
    10,640.72x = 15,963.08 × 3,245.84
  4. Step 4: Simplify right side
    10,640.72x = 51,813,603.59
  5. Step 5: Solve for x
    x = 51,813,603.59/10,640.72
  6. Step 6: Final answer
    x = 4,869.37

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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.