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Finding the Fourth Proportional to 3,381.96, 5,069.18 and 1,406.49

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Solution

The fourth proportional to 3,381.96, 5,069.18 and 1,406.49 is: 2,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.96 : 5,069.18 = 1,406.49 : x
  2. Step 2: Convert to fraction form
    3,381.96/5,069.18 = 1,406.49/x
  3. Step 3: Cross multiply
    3,381.96x = 5,069.18 × 1,406.49
  4. Step 4: Simplify right side
    3,381.96x = 7,129,750.98
  5. Step 5: Solve for x
    x = 7,129,750.98/3,381.96
  6. Step 6: Final answer
    x = 2,108.17

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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.