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Finding the Fourth Proportional to 5,942.13, 8,196.33 and 3,582

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Solution

The fourth proportional to 5,942.13, 8,196.33 and 3,582 is: 4,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.13 : 8,196.33 = 3,582 : x
  2. Step 2: Convert to fraction form
    5,942.13/8,196.33 = 3,582/x
  3. Step 3: Cross multiply
    5,942.13x = 8,196.33 × 3,582
  4. Step 4: Simplify right side
    5,942.13x = 29,359,254.06
  5. Step 5: Solve for x
    x = 29,359,254.06/5,942.13
  6. Step 6: Final answer
    x = 4,940.86

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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.