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Finding the Fourth Proportional to 37,273, 51,436.74 and 20,505.64

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Solution

The fourth proportional to 37,273, 51,436.74 and 20,505.64 is: 28,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,273 : 51,436.74 = 20,505.64 : x
  2. Step 2: Convert to fraction form
    37,273/51,436.74 = 20,505.64/x
  3. Step 3: Cross multiply
    37,273x = 51,436.74 × 20,505.64
  4. Step 4: Simplify right side
    37,273x = 1,054,743,273.21
  5. Step 5: Solve for x
    x = 1,054,743,273.21/37,273
  6. Step 6: Final answer
    x = 28,297.78

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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.