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Finding the Fourth Proportional to 7,163.99, 10,743.25 and 2,780.88

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Solution

The fourth proportional to 7,163.99, 10,743.25 and 2,780.88 is: 4,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.99 : 10,743.25 = 2,780.88 : x
  2. Step 2: Convert to fraction form
    7,163.99/10,743.25 = 2,780.88/x
  3. Step 3: Cross multiply
    7,163.99x = 10,743.25 × 2,780.88
  4. Step 4: Simplify right side
    7,163.99x = 29,875,689.06
  5. Step 5: Solve for x
    x = 29,875,689.06/7,163.99
  6. Step 6: Final answer
    x = 4,170.26

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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.