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Finding the Fourth Proportional to 5,204, 7,181.52 and 3,878.84

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Solution

The fourth proportional to 5,204, 7,181.52 and 3,878.84 is: 5,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 7,181.52 = 3,878.84 : x
  2. Step 2: Convert to fraction form
    5,204/7,181.52 = 3,878.84/x
  3. Step 3: Cross multiply
    5,204x = 7,181.52 × 3,878.84
  4. Step 4: Simplify right side
    5,204x = 27,855,967.04
  5. Step 5: Solve for x
    x = 27,855,967.04/5,204
  6. Step 6: Final answer
    x = 5,352.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.