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Finding the Fourth Proportional to 6,509.82, 9,764.43 and 2,126.71

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Solution

The fourth proportional to 6,509.82, 9,764.43 and 2,126.71 is: 3,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.82 : 9,764.43 = 2,126.71 : x
  2. Step 2: Convert to fraction form
    6,509.82/9,764.43 = 2,126.71/x
  3. Step 3: Cross multiply
    6,509.82x = 9,764.43 × 2,126.71
  4. Step 4: Simplify right side
    6,509.82x = 20,766,110.93
  5. Step 5: Solve for x
    x = 20,766,110.93/6,509.82
  6. Step 6: Final answer
    x = 3,189.97

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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.