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Finding the Fourth Proportional to 7,627.82, 11,422.28 and 3,722

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Solution

The fourth proportional to 7,627.82, 11,422.28 and 3,722 is: 5,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.82 : 11,422.28 = 3,722 : x
  2. Step 2: Convert to fraction form
    7,627.82/11,422.28 = 3,722/x
  3. Step 3: Cross multiply
    7,627.82x = 11,422.28 × 3,722
  4. Step 4: Simplify right side
    7,627.82x = 42,513,726.16
  5. Step 5: Solve for x
    x = 42,513,726.16/7,627.82
  6. Step 6: Final answer
    x = 5,573.51

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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.