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Finding the Fourth Proportional to 7,761.83, 11,639.18 and 2,495.87

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Solution

The fourth proportional to 7,761.83, 11,639.18 and 2,495.87 is: 3,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.83 : 11,639.18 = 2,495.87 : x
  2. Step 2: Convert to fraction form
    7,761.83/11,639.18 = 2,495.87/x
  3. Step 3: Cross multiply
    7,761.83x = 11,639.18 × 2,495.87
  4. Step 4: Simplify right side
    7,761.83x = 29,049,857.84
  5. Step 5: Solve for x
    x = 29,049,857.84/7,761.83
  6. Step 6: Final answer
    x = 3,742.66

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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.