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Finding the Fourth Proportional to 7,754.60, 11,631.10 and 2,561.32

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Solution

The fourth proportional to 7,754.60, 11,631.10 and 2,561.32 is: 3,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.60 : 11,631.10 = 2,561.32 : x
  2. Step 2: Convert to fraction form
    7,754.60/11,631.10 = 2,561.32/x
  3. Step 3: Cross multiply
    7,754.60x = 11,631.10 × 2,561.32
  4. Step 4: Simplify right side
    7,754.60x = 29,790,969.05
  5. Step 5: Solve for x
    x = 29,790,969.05/7,754.60
  6. Step 6: Final answer
    x = 3,841.72

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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.