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Finding the Fourth Proportional to 2,125, 3,187.90 and 664.36

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Solution

The fourth proportional to 2,125, 3,187.90 and 664.36 is: 996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125 : 3,187.90 = 664.36 : x
  2. Step 2: Convert to fraction form
    2,125/3,187.90 = 664.36/x
  3. Step 3: Cross multiply
    2,125x = 3,187.90 × 664.36
  4. Step 4: Simplify right side
    2,125x = 2,117,913.24
  5. Step 5: Solve for x
    x = 2,117,913.24/2,125
  6. Step 6: Final answer
    x = 996.67

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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.