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Finding the Fourth Proportional to 3,861.74, 5,792.63 and 940.06

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Solution

The fourth proportional to 3,861.74, 5,792.63 and 940.06 is: 1,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.74 : 5,792.63 = 940.06 : x
  2. Step 2: Convert to fraction form
    3,861.74/5,792.63 = 940.06/x
  3. Step 3: Cross multiply
    3,861.74x = 5,792.63 × 940.06
  4. Step 4: Simplify right side
    3,861.74x = 5,445,419.76
  5. Step 5: Solve for x
    x = 5,445,419.76/3,861.74
  6. Step 6: Final answer
    x = 1,410.09

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1.5x scale

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.