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Finding the Fourth Proportional to 7,751.72, 11,628.40 and 3,309.84

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Solution

The fourth proportional to 7,751.72, 11,628.40 and 3,309.84 is: 4,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.72 : 11,628.40 = 3,309.84 : x
  2. Step 2: Convert to fraction form
    7,751.72/11,628.40 = 3,309.84/x
  3. Step 3: Cross multiply
    7,751.72x = 11,628.40 × 3,309.84
  4. Step 4: Simplify right side
    7,751.72x = 38,488,135.18
  5. Step 5: Solve for x
    x = 38,488,135.18/7,751.72
  6. Step 6: Final answer
    x = 4,965.11

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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.