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Finding the Fourth Proportional to 5,599.78, 7,727.68 and 3,082.12

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Solution

The fourth proportional to 5,599.78, 7,727.68 and 3,082.12 is: 4,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.78 : 7,727.68 = 3,082.12 : x
  2. Step 2: Convert to fraction form
    5,599.78/7,727.68 = 3,082.12/x
  3. Step 3: Cross multiply
    5,599.78x = 7,727.68 × 3,082.12
  4. Step 4: Simplify right side
    5,599.78x = 23,817,637.08
  5. Step 5: Solve for x
    x = 23,817,637.08/5,599.78
  6. Step 6: Final answer
    x = 4,253.32

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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.