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Finding the Fourth Proportional to 7,659, 11,491.23 and 3,766.14

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Solution

The fourth proportional to 7,659, 11,491.23 and 3,766.14 is: 5,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 11,491.23 = 3,766.14 : x
  2. Step 2: Convert to fraction form
    7,659/11,491.23 = 3,766.14/x
  3. Step 3: Cross multiply
    7,659x = 11,491.23 × 3,766.14
  4. Step 4: Simplify right side
    7,659x = 43,277,580.95
  5. Step 5: Solve for x
    x = 43,277,580.95/7,659
  6. Step 6: Final answer
    x = 5,650.55

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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.