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Finding the Fourth Proportional to 20,606.55, 30,891.49 and 7,456

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Solution

The fourth proportional to 20,606.55, 30,891.49 and 7,456 is: 11,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,606.55 : 30,891.49 = 7,456 : x
  2. Step 2: Convert to fraction form
    20,606.55/30,891.49 = 7,456/x
  3. Step 3: Cross multiply
    20,606.55x = 30,891.49 × 7,456
  4. Step 4: Simplify right side
    20,606.55x = 230,326,949.44
  5. Step 5: Solve for x
    x = 230,326,949.44/20,606.55
  6. Step 6: Final answer
    x = 11,177.37

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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.