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Finding the Fourth Proportional to 3,855.84, 5,784 and 3,659.04

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Solution

The fourth proportional to 3,855.84, 5,784 and 3,659.04 is: 5,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.84 : 5,784 = 3,659.04 : x
  2. Step 2: Convert to fraction form
    3,855.84/5,784 = 3,659.04/x
  3. Step 3: Cross multiply
    3,855.84x = 5,784 × 3,659.04
  4. Step 4: Simplify right side
    3,855.84x = 21,163,887.36
  5. Step 5: Solve for x
    x = 21,163,887.36/3,855.84
  6. Step 6: Final answer
    x = 5,488.79

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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.