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Finding the Fourth Proportional to 2,254.34, 3,381.39 and 694.28

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Solution

The fourth proportional to 2,254.34, 3,381.39 and 694.28 is: 1,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.34 : 3,381.39 = 694.28 : x
  2. Step 2: Convert to fraction form
    2,254.34/3,381.39 = 694.28/x
  3. Step 3: Cross multiply
    2,254.34x = 3,381.39 × 694.28
  4. Step 4: Simplify right side
    2,254.34x = 2,347,614.54
  5. Step 5: Solve for x
    x = 2,347,614.54/2,254.34
  6. Step 6: Final answer
    x = 1,041.38

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1.5x scale

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.