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Finding the Fourth Proportional to 5,942.84, 8,914.08 and 2,825.10

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Solution

The fourth proportional to 5,942.84, 8,914.08 and 2,825.10 is: 4,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.84 : 8,914.08 = 2,825.10 : x
  2. Step 2: Convert to fraction form
    5,942.84/8,914.08 = 2,825.10/x
  3. Step 3: Cross multiply
    5,942.84x = 8,914.08 × 2,825.10
  4. Step 4: Simplify right side
    5,942.84x = 25,183,167.41
  5. Step 5: Solve for x
    x = 25,183,167.41/5,942.84
  6. Step 6: Final answer
    x = 4,237.56

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Why These Related Problems?

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