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Finding the Fourth Proportional to 7,834.71, 11,751.72 and 3,153.30

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Solution

The fourth proportional to 7,834.71, 11,751.72 and 3,153.30 is: 4,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.71 : 11,751.72 = 3,153.30 : x
  2. Step 2: Convert to fraction form
    7,834.71/11,751.72 = 3,153.30/x
  3. Step 3: Cross multiply
    7,834.71x = 11,751.72 × 3,153.30
  4. Step 4: Simplify right side
    7,834.71x = 37,056,698.68
  5. Step 5: Solve for x
    x = 37,056,698.68/7,834.71
  6. Step 6: Final answer
    x = 4,729.81

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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.