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Finding the Fourth Proportional to 5,834.42, 8,751.75 and 3,253.78

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Solution

The fourth proportional to 5,834.42, 8,751.75 and 3,253.78 is: 4,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.42 : 8,751.75 = 3,253.78 : x
  2. Step 2: Convert to fraction form
    5,834.42/8,751.75 = 3,253.78/x
  3. Step 3: Cross multiply
    5,834.42x = 8,751.75 × 3,253.78
  4. Step 4: Simplify right side
    5,834.42x = 28,476,269.12
  5. Step 5: Solve for x
    x = 28,476,269.12/5,834.42
  6. Step 6: Final answer
    x = 4,880.74

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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.