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Finding the Fourth Proportional to 2,592.82, 3,889.95 and 838.11

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Solution

The fourth proportional to 2,592.82, 3,889.95 and 838.11 is: 1,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.82 : 3,889.95 = 838.11 : x
  2. Step 2: Convert to fraction form
    2,592.82/3,889.95 = 838.11/x
  3. Step 3: Cross multiply
    2,592.82x = 3,889.95 × 838.11
  4. Step 4: Simplify right side
    2,592.82x = 3,260,205.99
  5. Step 5: Solve for x
    x = 3,260,205.99/2,592.82
  6. Step 6: Final answer
    x = 1,257.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.