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Finding the Fourth Proportional to 5,745.86, 7,928.32 and 3,388.46

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Solution

The fourth proportional to 5,745.86, 7,928.32 and 3,388.46 is: 4,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.86 : 7,928.32 = 3,388.46 : x
  2. Step 2: Convert to fraction form
    5,745.86/7,928.32 = 3,388.46/x
  3. Step 3: Cross multiply
    5,745.86x = 7,928.32 × 3,388.46
  4. Step 4: Simplify right side
    5,745.86x = 26,864,778.24
  5. Step 5: Solve for x
    x = 26,864,778.24/5,745.86
  6. Step 6: Final answer
    x = 4,675.51

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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.