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Finding the Fourth Proportional to 3,369.56, 5,054.78 and 1,637

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Solution

The fourth proportional to 3,369.56, 5,054.78 and 1,637 is: 2,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.56 : 5,054.78 = 1,637 : x
  2. Step 2: Convert to fraction form
    3,369.56/5,054.78 = 1,637/x
  3. Step 3: Cross multiply
    3,369.56x = 5,054.78 × 1,637
  4. Step 4: Simplify right side
    3,369.56x = 8,274,674.86
  5. Step 5: Solve for x
    x = 8,274,674.86/3,369.56
  6. Step 6: Final answer
    x = 2,455.71

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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.