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Finding the Fourth Proportional to 7,107.76, 10,651.92 and 5,159.44

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Solution

The fourth proportional to 7,107.76, 10,651.92 and 5,159.44 is: 7,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.76 : 10,651.92 = 5,159.44 : x
  2. Step 2: Convert to fraction form
    7,107.76/10,651.92 = 5,159.44/x
  3. Step 3: Cross multiply
    7,107.76x = 10,651.92 × 5,159.44
  4. Step 4: Simplify right side
    7,107.76x = 54,957,942.12
  5. Step 5: Solve for x
    x = 54,957,942.12/7,107.76
  6. Step 6: Final answer
    x = 7,732.10

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1.5x scale

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.