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Finding the Fourth Proportional to 3,865.96, 5,792.46 and 2,129.32

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Solution

The fourth proportional to 3,865.96, 5,792.46 and 2,129.32 is: 3,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.96 : 5,792.46 = 2,129.32 : x
  2. Step 2: Convert to fraction form
    3,865.96/5,792.46 = 2,129.32/x
  3. Step 3: Cross multiply
    3,865.96x = 5,792.46 × 2,129.32
  4. Step 4: Simplify right side
    3,865.96x = 12,334,000.93
  5. Step 5: Solve for x
    x = 12,334,000.93/3,865.96
  6. Step 6: Final answer
    x = 3,190.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.