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Finding the Fourth Proportional to 3,861.04, 5,792 and 1,781.16

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Solution

The fourth proportional to 3,861.04, 5,792 and 1,781.16 is: 2,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.04 : 5,792 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    3,861.04/5,792 = 1,781.16/x
  3. Step 3: Cross multiply
    3,861.04x = 5,792 × 1,781.16
  4. Step 4: Simplify right side
    3,861.04x = 10,316,478.72
  5. Step 5: Solve for x
    x = 10,316,478.72/3,861.04
  6. Step 6: Final answer
    x = 2,671.94

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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.