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Finding the Fourth Proportional to 6,648.76, 9,967.38 and 3,907

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Solution

The fourth proportional to 6,648.76, 9,967.38 and 3,907 is: 5,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.76 : 9,967.38 = 3,907 : x
  2. Step 2: Convert to fraction form
    6,648.76/9,967.38 = 3,907/x
  3. Step 3: Cross multiply
    6,648.76x = 9,967.38 × 3,907
  4. Step 4: Simplify right side
    6,648.76x = 38,942,553.66
  5. Step 5: Solve for x
    x = 38,942,553.66/6,648.76
  6. Step 6: Final answer
    x = 5,857.12

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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.