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Finding the Fourth Proportional to 3,369.61, 5,054.42 and 1,636.75

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Solution

The fourth proportional to 3,369.61, 5,054.42 and 1,636.75 is: 2,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.61 : 5,054.42 = 1,636.75 : x
  2. Step 2: Convert to fraction form
    3,369.61/5,054.42 = 1,636.75/x
  3. Step 3: Cross multiply
    3,369.61x = 5,054.42 × 1,636.75
  4. Step 4: Simplify right side
    3,369.61x = 8,272,821.94
  5. Step 5: Solve for x
    x = 8,272,821.94/3,369.61
  6. Step 6: Final answer
    x = 2,455.13

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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.