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Finding the Fourth Proportional to 10,976, 15,147.12 and 6,008

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Solution

The fourth proportional to 10,976, 15,147.12 and 6,008 is: 8,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 15,147.12 = 6,008 : x
  2. Step 2: Convert to fraction form
    10,976/15,147.12 = 6,008/x
  3. Step 3: Cross multiply
    10,976x = 15,147.12 × 6,008
  4. Step 4: Simplify right side
    10,976x = 91,003,896.96
  5. Step 5: Solve for x
    x = 91,003,896.96/10,976
  6. Step 6: Final answer
    x = 8,291.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.