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Finding the Fourth Proportional to 5,745.90, 7,929.24 and 3,193.60

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Solution

The fourth proportional to 5,745.90, 7,929.24 and 3,193.60 is: 4,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.90 : 7,929.24 = 3,193.60 : x
  2. Step 2: Convert to fraction form
    5,745.90/7,929.24 = 3,193.60/x
  3. Step 3: Cross multiply
    5,745.90x = 7,929.24 × 3,193.60
  4. Step 4: Simplify right side
    5,745.90x = 25,322,820.86
  5. Step 5: Solve for x
    x = 25,322,820.86/5,745.90
  6. Step 6: Final answer
    x = 4,407.11

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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.