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Finding the Fourth Proportional to 3,896.16, 5,845.04 and 1,299.12

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Solution

The fourth proportional to 3,896.16, 5,845.04 and 1,299.12 is: 1,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.16 : 5,845.04 = 1,299.12 : x
  2. Step 2: Convert to fraction form
    3,896.16/5,845.04 = 1,299.12/x
  3. Step 3: Cross multiply
    3,896.16x = 5,845.04 × 1,299.12
  4. Step 4: Simplify right side
    3,896.16x = 7,593,408.36
  5. Step 5: Solve for x
    x = 7,593,408.36/3,896.16
  6. Step 6: Final answer
    x = 1,948.95

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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.