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Finding the Fourth Proportional to 3,861.67, 5,792.51 and 939.95

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Solution

The fourth proportional to 3,861.67, 5,792.51 and 939.95 is: 1,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.67 : 5,792.51 = 939.95 : x
  2. Step 2: Convert to fraction form
    3,861.67/5,792.51 = 939.95/x
  3. Step 3: Cross multiply
    3,861.67x = 5,792.51 × 939.95
  4. Step 4: Simplify right side
    3,861.67x = 5,444,669.77
  5. Step 5: Solve for x
    x = 5,444,669.77/3,861.67
  6. Step 6: Final answer
    x = 1,409.93

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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.