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Finding the Fourth Proportional to 2,511.68, 3,766.80 and 756.62

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Solution

The fourth proportional to 2,511.68, 3,766.80 and 756.62 is: 1,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.68 : 3,766.80 = 756.62 : x
  2. Step 2: Convert to fraction form
    2,511.68/3,766.80 = 756.62/x
  3. Step 3: Cross multiply
    2,511.68x = 3,766.80 × 756.62
  4. Step 4: Simplify right side
    2,511.68x = 2,850,036.22
  5. Step 5: Solve for x
    x = 2,850,036.22/2,511.68
  6. Step 6: Final answer
    x = 1,134.71

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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.