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Finding the Fourth Proportional to 3,861.45, 5,790.02 and 1,264.17

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Solution

The fourth proportional to 3,861.45, 5,790.02 and 1,264.17 is: 1,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.45 : 5,790.02 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    3,861.45/5,790.02 = 1,264.17/x
  3. Step 3: Cross multiply
    3,861.45x = 5,790.02 × 1,264.17
  4. Step 4: Simplify right side
    3,861.45x = 7,319,563.26
  5. Step 5: Solve for x
    x = 7,319,563.26/3,861.45
  6. Step 6: Final answer
    x = 1,895.55

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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.