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Finding the Fourth Proportional to 5,476.75, 8,220 and 2,556.70

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Solution

The fourth proportional to 5,476.75, 8,220 and 2,556.70 is: 3,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.75 : 8,220 = 2,556.70 : x
  2. Step 2: Convert to fraction form
    5,476.75/8,220 = 2,556.70/x
  3. Step 3: Cross multiply
    5,476.75x = 8,220 × 2,556.70
  4. Step 4: Simplify right side
    5,476.75x = 21,016,074
  5. Step 5: Solve for x
    x = 21,016,074/5,476.75
  6. Step 6: Final answer
    x = 3,837.33

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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.