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Finding the Fourth Proportional to 3,861.72, 5,792.56 and 940.04

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Solution

The fourth proportional to 3,861.72, 5,792.56 and 940.04 is: 1,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.72 : 5,792.56 = 940.04 : x
  2. Step 2: Convert to fraction form
    3,861.72/5,792.56 = 940.04/x
  3. Step 3: Cross multiply
    3,861.72x = 5,792.56 × 940.04
  4. Step 4: Simplify right side
    3,861.72x = 5,445,238.10
  5. Step 5: Solve for x
    x = 5,445,238.10/3,861.72
  6. Step 6: Final answer
    x = 1,410.06

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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.