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Finding the Fourth Proportional to 7,744.52, 11,616.80 and 3,640.52

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Solution

The fourth proportional to 7,744.52, 11,616.80 and 3,640.52 is: 5,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.52 : 11,616.80 = 3,640.52 : x
  2. Step 2: Convert to fraction form
    7,744.52/11,616.80 = 3,640.52/x
  3. Step 3: Cross multiply
    7,744.52x = 11,616.80 × 3,640.52
  4. Step 4: Simplify right side
    7,744.52x = 42,291,192.74
  5. Step 5: Solve for x
    x = 42,291,192.74/7,744.52
  6. Step 6: Final answer
    x = 5,460.79

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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.