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Finding the Fourth Proportional to 10,640.72, 15,978.87 and 6,647.40

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Solution

The fourth proportional to 10,640.72, 15,978.87 and 6,647.40 is: 9,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.72 : 15,978.87 = 6,647.40 : x
  2. Step 2: Convert to fraction form
    10,640.72/15,978.87 = 6,647.40/x
  3. Step 3: Cross multiply
    10,640.72x = 15,978.87 × 6,647.40
  4. Step 4: Simplify right side
    10,640.72x = 106,217,940.44
  5. Step 5: Solve for x
    x = 106,217,940.44/10,640.72
  6. Step 6: Final answer
    x = 9,982.21

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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.