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Finding the Fourth Proportional to 2,138.01, 3,207.08 and 657.27

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Solution

The fourth proportional to 2,138.01, 3,207.08 and 657.27 is: 985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.01 : 3,207.08 = 657.27 : x
  2. Step 2: Convert to fraction form
    2,138.01/3,207.08 = 657.27/x
  3. Step 3: Cross multiply
    2,138.01x = 3,207.08 × 657.27
  4. Step 4: Simplify right side
    2,138.01x = 2,107,914.19
  5. Step 5: Solve for x
    x = 2,107,914.19/2,138.01
  6. Step 6: Final answer
    x = 985.92

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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.