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Finding the Fourth Proportional to 2,156.48, 3,232.66 and 694.72

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Solution

The fourth proportional to 2,156.48, 3,232.66 and 694.72 is: 1,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.48 : 3,232.66 = 694.72 : x
  2. Step 2: Convert to fraction form
    2,156.48/3,232.66 = 694.72/x
  3. Step 3: Cross multiply
    2,156.48x = 3,232.66 × 694.72
  4. Step 4: Simplify right side
    2,156.48x = 2,245,793.56
  5. Step 5: Solve for x
    x = 2,245,793.56/2,156.48
  6. Step 6: Final answer
    x = 1,041.42

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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.