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Finding the Fourth Proportional to 7,760.99, 11,646 and 3,081.44

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Solution

The fourth proportional to 7,760.99, 11,646 and 3,081.44 is: 4,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.99 : 11,646 = 3,081.44 : x
  2. Step 2: Convert to fraction form
    7,760.99/11,646 = 3,081.44/x
  3. Step 3: Cross multiply
    7,760.99x = 11,646 × 3,081.44
  4. Step 4: Simplify right side
    7,760.99x = 35,886,392.01
  5. Step 5: Solve for x
    x = 35,886,392.01/7,760.99
  6. Step 6: Final answer
    x = 4,623.95

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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.