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Finding the Fourth Proportional to 5,005, 6,906.92 and 2,910.36

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Solution

The fourth proportional to 5,005, 6,906.92 and 2,910.36 is: 4,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005 : 6,906.92 = 2,910.36 : x
  2. Step 2: Convert to fraction form
    5,005/6,906.92 = 2,910.36/x
  3. Step 3: Cross multiply
    5,005x = 6,906.92 × 2,910.36
  4. Step 4: Simplify right side
    5,005x = 20,101,623.69
  5. Step 5: Solve for x
    x = 20,101,623.69/5,005
  6. Step 6: Final answer
    x = 4,016.31

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1.5x scale

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.