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Finding the Fourth Proportional to 5,739.36, 7,906.32 and 3,967.92

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Solution

The fourth proportional to 5,739.36, 7,906.32 and 3,967.92 is: 5,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.36 : 7,906.32 = 3,967.92 : x
  2. Step 2: Convert to fraction form
    5,739.36/7,906.32 = 3,967.92/x
  3. Step 3: Cross multiply
    5,739.36x = 7,906.32 × 3,967.92
  4. Step 4: Simplify right side
    5,739.36x = 31,371,645.25
  5. Step 5: Solve for x
    x = 31,371,645.25/5,739.36
  6. Step 6: Final answer
    x = 5,466.05

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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.