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Finding the Fourth Proportional to 2,254.21, 3,381.63 and 694.34

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Solution

The fourth proportional to 2,254.21, 3,381.63 and 694.34 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.21 : 3,381.63 = 694.34 : x
  2. Step 2: Convert to fraction form
    2,254.21/3,381.63 = 694.34/x
  3. Step 3: Cross multiply
    2,254.21x = 3,381.63 × 694.34
  4. Step 4: Simplify right side
    2,254.21x = 2,348,000.97
  5. Step 5: Solve for x
    x = 2,348,000.97/2,254.21
  6. Step 6: Final answer
    x = 1,041.61

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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.