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Finding the Fourth Proportional to 5,745.96, 7,929.36 and 3,388.86

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Solution

The fourth proportional to 5,745.96, 7,929.36 and 3,388.86 is: 4,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.96 : 7,929.36 = 3,388.86 : x
  2. Step 2: Convert to fraction form
    5,745.96/7,929.36 = 3,388.86/x
  3. Step 3: Cross multiply
    5,745.96x = 7,929.36 × 3,388.86
  4. Step 4: Simplify right side
    5,745.96x = 26,871,490.93
  5. Step 5: Solve for x
    x = 26,871,490.93/5,745.96
  6. Step 6: Final answer
    x = 4,676.59

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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.