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Finding the Fourth Proportional to 7,277, 10,917.22 and 2,082.74

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Solution

The fourth proportional to 7,277, 10,917.22 and 2,082.74 is: 3,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277 : 10,917.22 = 2,082.74 : x
  2. Step 2: Convert to fraction form
    7,277/10,917.22 = 2,082.74/x
  3. Step 3: Cross multiply
    7,277x = 10,917.22 × 2,082.74
  4. Step 4: Simplify right side
    7,277x = 22,737,730.78
  5. Step 5: Solve for x
    x = 22,737,730.78/7,277
  6. Step 6: Final answer
    x = 3,124.60

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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.