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Finding the Fourth Proportional to 2,126.70, 3,190.06 and 665.86

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Solution

The fourth proportional to 2,126.70, 3,190.06 and 665.86 is: 998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.70 : 3,190.06 = 665.86 : x
  2. Step 2: Convert to fraction form
    2,126.70/3,190.06 = 665.86/x
  3. Step 3: Cross multiply
    2,126.70x = 3,190.06 × 665.86
  4. Step 4: Simplify right side
    2,126.70x = 2,124,133.35
  5. Step 5: Solve for x
    x = 2,124,133.35/2,126.70
  6. Step 6: Final answer
    x = 998.79

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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.