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Finding the Fourth Proportional to 2,174.35, 3,261.78 and 693.05

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Solution

The fourth proportional to 2,174.35, 3,261.78 and 693.05 is: 1,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.35 : 3,261.78 = 693.05 : x
  2. Step 2: Convert to fraction form
    2,174.35/3,261.78 = 693.05/x
  3. Step 3: Cross multiply
    2,174.35x = 3,261.78 × 693.05
  4. Step 4: Simplify right side
    2,174.35x = 2,260,573.16
  5. Step 5: Solve for x
    x = 2,260,573.16/2,174.35
  6. Step 6: Final answer
    x = 1,039.65

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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.