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Finding the Fourth Proportional to 2,134.44, 3,202.13 and 653.87

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Solution

The fourth proportional to 2,134.44, 3,202.13 and 653.87 is: 980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.44 : 3,202.13 = 653.87 : x
  2. Step 2: Convert to fraction form
    2,134.44/3,202.13 = 653.87/x
  3. Step 3: Cross multiply
    2,134.44x = 3,202.13 × 653.87
  4. Step 4: Simplify right side
    2,134.44x = 2,093,760.73
  5. Step 5: Solve for x
    x = 2,093,760.73/2,134.44
  6. Step 6: Final answer
    x = 980.94

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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.