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Finding the Fourth Proportional to 5,599.31, 7,728.39 and 3,242.84

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Solution

The fourth proportional to 5,599.31, 7,728.39 and 3,242.84 is: 4,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.31 : 7,728.39 = 3,242.84 : x
  2. Step 2: Convert to fraction form
    5,599.31/7,728.39 = 3,242.84/x
  3. Step 3: Cross multiply
    5,599.31x = 7,728.39 × 3,242.84
  4. Step 4: Simplify right side
    5,599.31x = 25,061,893.59
  5. Step 5: Solve for x
    x = 25,061,893.59/5,599.31
  6. Step 6: Final answer
    x = 4,475.89

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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.