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Finding the Fourth Proportional to 2,126.31, 3,189.26 and 665.48

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Solution

The fourth proportional to 2,126.31, 3,189.26 and 665.48 is: 998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.31 : 3,189.26 = 665.48 : x
  2. Step 2: Convert to fraction form
    2,126.31/3,189.26 = 665.48/x
  3. Step 3: Cross multiply
    2,126.31x = 3,189.26 × 665.48
  4. Step 4: Simplify right side
    2,126.31x = 2,122,369.47
  5. Step 5: Solve for x
    x = 2,122,369.47/2,126.31
  6. Step 6: Final answer
    x = 998.15

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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.