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Finding the Fourth Proportional to 3,837.84, 5,755.51 and 1,645.98

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Solution

The fourth proportional to 3,837.84, 5,755.51 and 1,645.98 is: 2,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.84 : 5,755.51 = 1,645.98 : x
  2. Step 2: Convert to fraction form
    3,837.84/5,755.51 = 1,645.98/x
  3. Step 3: Cross multiply
    3,837.84x = 5,755.51 × 1,645.98
  4. Step 4: Simplify right side
    3,837.84x = 9,473,454.35
  5. Step 5: Solve for x
    x = 9,473,454.35/3,837.84
  6. Step 6: Final answer
    x = 2,468.43

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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.