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Finding the Fourth Proportional to 37,405, 51,618.90 and 20,638

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Solution

The fourth proportional to 37,405, 51,618.90 and 20,638 is: 28,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,405 : 51,618.90 = 20,638 : x
  2. Step 2: Convert to fraction form
    37,405/51,618.90 = 20,638/x
  3. Step 3: Cross multiply
    37,405x = 51,618.90 × 20,638
  4. Step 4: Simplify right side
    37,405x = 1,065,310,858.20
  5. Step 5: Solve for x
    x = 1,065,310,858.20/37,405
  6. Step 6: Final answer
    x = 28,480.44

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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.