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Finding the Fourth Proportional to 3,840.59, 5,755.86 and 3,744

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Solution

The fourth proportional to 3,840.59, 5,755.86 and 3,744 is: 5,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.59 : 5,755.86 = 3,744 : x
  2. Step 2: Convert to fraction form
    3,840.59/5,755.86 = 3,744/x
  3. Step 3: Cross multiply
    3,840.59x = 5,755.86 × 3,744
  4. Step 4: Simplify right side
    3,840.59x = 21,549,939.84
  5. Step 5: Solve for x
    x = 21,549,939.84/3,840.59
  6. Step 6: Final answer
    x = 5,611.10

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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.