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Finding the Fourth Proportional to 3,882.88, 5,784.26 and 3,643.84

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Solution

The fourth proportional to 3,882.88, 5,784.26 and 3,643.84 is: 5,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,784.26 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,784.26 = 3,643.84/x
  3. Step 3: Cross multiply
    3,882.88x = 5,784.26 × 3,643.84
  4. Step 4: Simplify right side
    3,882.88x = 21,076,917.96
  5. Step 5: Solve for x
    x = 21,076,917.96/3,882.88
  6. Step 6: Final answer
    x = 5,428.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.