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Finding the Fourth Proportional to 7,759.71, 11,632.46 and 2,828.30

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Solution

The fourth proportional to 7,759.71, 11,632.46 and 2,828.30 is: 4,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.71 : 11,632.46 = 2,828.30 : x
  2. Step 2: Convert to fraction form
    7,759.71/11,632.46 = 2,828.30/x
  3. Step 3: Cross multiply
    7,759.71x = 11,632.46 × 2,828.30
  4. Step 4: Simplify right side
    7,759.71x = 32,900,014.31
  5. Step 5: Solve for x
    x = 32,900,014.31/7,759.71
  6. Step 6: Final answer
    x = 4,239.85

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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.