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Finding the Fourth Proportional to 3,861.44, 5,792.64 and 1,264.64

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Solution

The fourth proportional to 3,861.44, 5,792.64 and 1,264.64 is: 1,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.44 : 5,792.64 = 1,264.64 : x
  2. Step 2: Convert to fraction form
    3,861.44/5,792.64 = 1,264.64/x
  3. Step 3: Cross multiply
    3,861.44x = 5,792.64 × 1,264.64
  4. Step 4: Simplify right side
    3,861.44x = 7,325,604.25
  5. Step 5: Solve for x
    x = 7,325,604.25/3,861.44
  6. Step 6: Final answer
    x = 1,897.12

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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.