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Finding the Fourth Proportional to 2,157.87, 3,236.87 and 697.17

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Solution

The fourth proportional to 2,157.87, 3,236.87 and 697.17 is: 1,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.87 : 3,236.87 = 697.17 : x
  2. Step 2: Convert to fraction form
    2,157.87/3,236.87 = 697.17/x
  3. Step 3: Cross multiply
    2,157.87x = 3,236.87 × 697.17
  4. Step 4: Simplify right side
    2,157.87x = 2,256,648.66
  5. Step 5: Solve for x
    x = 2,256,648.66/2,157.87
  6. Step 6: Final answer
    x = 1,045.78

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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.