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Finding the Fourth Proportional to 2,138.34, 3,207 and 821.64

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Solution

The fourth proportional to 2,138.34, 3,207 and 821.64 is: 1,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.34 : 3,207 = 821.64 : x
  2. Step 2: Convert to fraction form
    2,138.34/3,207 = 821.64/x
  3. Step 3: Cross multiply
    2,138.34x = 3,207 × 821.64
  4. Step 4: Simplify right side
    2,138.34x = 2,634,999.48
  5. Step 5: Solve for x
    x = 2,634,999.48/2,138.34
  6. Step 6: Final answer
    x = 1,232.26

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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.