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Finding the Fourth Proportional to 9,251.10, 13,880.49 and 4,872.42

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Solution

The fourth proportional to 9,251.10, 13,880.49 and 4,872.42 is: 7,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.10 : 13,880.49 = 4,872.42 : x
  2. Step 2: Convert to fraction form
    9,251.10/13,880.49 = 4,872.42/x
  3. Step 3: Cross multiply
    9,251.10x = 13,880.49 × 4,872.42
  4. Step 4: Simplify right side
    9,251.10x = 67,631,577.09
  5. Step 5: Solve for x
    x = 67,631,577.09/9,251.10
  6. Step 6: Final answer
    x = 7,310.65

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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.