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Finding the Fourth Proportional to 3,827.88, 5,742.36 and 3,813.84

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Solution

The fourth proportional to 3,827.88, 5,742.36 and 3,813.84 is: 5,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.88 : 5,742.36 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    3,827.88/5,742.36 = 3,813.84/x
  3. Step 3: Cross multiply
    3,827.88x = 5,742.36 × 3,813.84
  4. Step 4: Simplify right side
    3,827.88x = 21,900,442.26
  5. Step 5: Solve for x
    x = 21,900,442.26/3,827.88
  6. Step 6: Final answer
    x = 5,721.30

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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.