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Finding the Fourth Proportional to 7,659.81, 11,491.53 and 2,729.88

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Solution

The fourth proportional to 7,659.81, 11,491.53 and 2,729.88 is: 4,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.81 : 11,491.53 = 2,729.88 : x
  2. Step 2: Convert to fraction form
    7,659.81/11,491.53 = 2,729.88/x
  3. Step 3: Cross multiply
    7,659.81x = 11,491.53 × 2,729.88
  4. Step 4: Simplify right side
    7,659.81x = 31,370,497.92
  5. Step 5: Solve for x
    x = 31,370,497.92/7,659.81
  6. Step 6: Final answer
    x = 4,095.47

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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.