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Finding the Fourth Proportional to 7,714, 10,643.07 and 5,198.95

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Solution

The fourth proportional to 7,714, 10,643.07 and 5,198.95 is: 7,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 10,643.07 = 5,198.95 : x
  2. Step 2: Convert to fraction form
    7,714/10,643.07 = 5,198.95/x
  3. Step 3: Cross multiply
    7,714x = 10,643.07 × 5,198.95
  4. Step 4: Simplify right side
    7,714x = 55,332,788.78
  5. Step 5: Solve for x
    x = 55,332,788.78/7,714
  6. Step 6: Final answer
    x = 7,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.