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Finding the Fourth Proportional to 3,965.15, 5,472.36 and 3,019.28

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Solution

The fourth proportional to 3,965.15, 5,472.36 and 3,019.28 is: 4,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.15 : 5,472.36 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    3,965.15/5,472.36 = 3,019.28/x
  3. Step 3: Cross multiply
    3,965.15x = 5,472.36 × 3,019.28
  4. Step 4: Simplify right side
    3,965.15x = 16,522,559.74
  5. Step 5: Solve for x
    x = 16,522,559.74/3,965.15
  6. Step 6: Final answer
    x = 4,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.