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Finding the Fourth Proportional to 3,381.74, 5,073.64 and 1,604.17

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Solution

The fourth proportional to 3,381.74, 5,073.64 and 1,604.17 is: 2,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.74 : 5,073.64 = 1,604.17 : x
  2. Step 2: Convert to fraction form
    3,381.74/5,073.64 = 1,604.17/x
  3. Step 3: Cross multiply
    3,381.74x = 5,073.64 × 1,604.17
  4. Step 4: Simplify right side
    3,381.74x = 8,138,964.38
  5. Step 5: Solve for x
    x = 8,138,964.38/3,381.74
  6. Step 6: Final answer
    x = 2,406.74

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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.