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Finding the Fourth Proportional to 7,257, 10,880.52 and 2,874.96

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Solution

The fourth proportional to 7,257, 10,880.52 and 2,874.96 is: 4,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 10,880.52 = 2,874.96 : x
  2. Step 2: Convert to fraction form
    7,257/10,880.52 = 2,874.96/x
  3. Step 3: Cross multiply
    7,257x = 10,880.52 × 2,874.96
  4. Step 4: Simplify right side
    7,257x = 31,281,059.78
  5. Step 5: Solve for x
    x = 31,281,059.78/7,257
  6. Step 6: Final answer
    x = 4,310.47

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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.