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Finding the Fourth Proportional to 5,965.26, 8,228.42 and 3,869.40

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Solution

The fourth proportional to 5,965.26, 8,228.42 and 3,869.40 is: 5,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.26 : 8,228.42 = 3,869.40 : x
  2. Step 2: Convert to fraction form
    5,965.26/8,228.42 = 3,869.40/x
  3. Step 3: Cross multiply
    5,965.26x = 8,228.42 × 3,869.40
  4. Step 4: Simplify right side
    5,965.26x = 31,839,048.35
  5. Step 5: Solve for x
    x = 31,839,048.35/5,965.26
  6. Step 6: Final answer
    x = 5,337.41

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