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Finding the Fourth Proportional to 7,751.74, 11,620.50 and 3,367.62

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Solution

The fourth proportional to 7,751.74, 11,620.50 and 3,367.62 is: 5,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.74 : 11,620.50 = 3,367.62 : x
  2. Step 2: Convert to fraction form
    7,751.74/11,620.50 = 3,367.62/x
  3. Step 3: Cross multiply
    7,751.74x = 11,620.50 × 3,367.62
  4. Step 4: Simplify right side
    7,751.74x = 39,133,428.21
  5. Step 5: Solve for x
    x = 39,133,428.21/7,751.74
  6. Step 6: Final answer
    x = 5,048.34

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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.