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Finding the Fourth Proportional to 2,138.00, 3,207.60 and 822.35

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Solution

The fourth proportional to 2,138.00, 3,207.60 and 822.35 is: 1,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.00 : 3,207.60 = 822.35 : x
  2. Step 2: Convert to fraction form
    2,138.00/3,207.60 = 822.35/x
  3. Step 3: Cross multiply
    2,138.00x = 3,207.60 × 822.35
  4. Step 4: Simplify right side
    2,138.00x = 2,637,777.88
  5. Step 5: Solve for x
    x = 2,637,777.88/2,138.00
  6. Step 6: Final answer
    x = 1,233.76

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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.