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Finding the Fourth Proportional to 5,221.54, 7,833.21 and 2,758.42

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Solution

The fourth proportional to 5,221.54, 7,833.21 and 2,758.42 is: 4,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.54 : 7,833.21 = 2,758.42 : x
  2. Step 2: Convert to fraction form
    5,221.54/7,833.21 = 2,758.42/x
  3. Step 3: Cross multiply
    5,221.54x = 7,833.21 × 2,758.42
  4. Step 4: Simplify right side
    5,221.54x = 21,607,283.13
  5. Step 5: Solve for x
    x = 21,607,283.13/5,221.54
  6. Step 6: Final answer
    x = 4,138.11

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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.