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Finding the Fourth Proportional to 5,696.87, 7,861.27 and 3,306.91

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Solution

The fourth proportional to 5,696.87, 7,861.27 and 3,306.91 is: 4,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.87 : 7,861.27 = 3,306.91 : x
  2. Step 2: Convert to fraction form
    5,696.87/7,861.27 = 3,306.91/x
  3. Step 3: Cross multiply
    5,696.87x = 7,861.27 × 3,306.91
  4. Step 4: Simplify right side
    5,696.87x = 25,996,505.40
  5. Step 5: Solve for x
    x = 25,996,505.40/5,696.87
  6. Step 6: Final answer
    x = 4,563.30

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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.