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Finding the Fourth Proportional to 2,126.17, 3,189.17 and 664.93

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Solution

The fourth proportional to 2,126.17, 3,189.17 and 664.93 is: 997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.17 : 3,189.17 = 664.93 : x
  2. Step 2: Convert to fraction form
    2,126.17/3,189.17 = 664.93/x
  3. Step 3: Cross multiply
    2,126.17x = 3,189.17 × 664.93
  4. Step 4: Simplify right side
    2,126.17x = 2,120,574.81
  5. Step 5: Solve for x
    x = 2,120,574.81/2,126.17
  6. Step 6: Final answer
    x = 997.37

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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.