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Finding the Fourth Proportional to 3,838.56, 5,296.72 and 2,442.12

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Solution

The fourth proportional to 3,838.56, 5,296.72 and 2,442.12 is: 3,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.56 : 5,296.72 = 2,442.12 : x
  2. Step 2: Convert to fraction form
    3,838.56/5,296.72 = 2,442.12/x
  3. Step 3: Cross multiply
    3,838.56x = 5,296.72 × 2,442.12
  4. Step 4: Simplify right side
    3,838.56x = 12,935,225.85
  5. Step 5: Solve for x
    x = 12,935,225.85/3,838.56
  6. Step 6: Final answer
    x = 3,369.81

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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.