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Finding the Fourth Proportional to 5,627.12, 7,764 and 3,764.48

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Solution

The fourth proportional to 5,627.12, 7,764 and 3,764.48 is: 5,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.12 : 7,764 = 3,764.48 : x
  2. Step 2: Convert to fraction form
    5,627.12/7,764 = 3,764.48/x
  3. Step 3: Cross multiply
    5,627.12x = 7,764 × 3,764.48
  4. Step 4: Simplify right side
    5,627.12x = 29,227,422.72
  5. Step 5: Solve for x
    x = 29,227,422.72/5,627.12
  6. Step 6: Final answer
    x = 5,194.03

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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.