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Finding the Fourth Proportional to 2,126.34, 3,189.66 and 665.45

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Solution

The fourth proportional to 2,126.34, 3,189.66 and 665.45 is: 998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.34 : 3,189.66 = 665.45 : x
  2. Step 2: Convert to fraction form
    2,126.34/3,189.66 = 665.45/x
  3. Step 3: Cross multiply
    2,126.34x = 3,189.66 × 665.45
  4. Step 4: Simplify right side
    2,126.34x = 2,122,559.25
  5. Step 5: Solve for x
    x = 2,122,559.25/2,126.34
  6. Step 6: Final answer
    x = 998.22

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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.