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Finding the Fourth Proportional to 36,673, 55,009.50 and 20,257

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Solution

The fourth proportional to 36,673, 55,009.50 and 20,257 is: 30,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,673 : 55,009.50 = 20,257 : x
  2. Step 2: Convert to fraction form
    36,673/55,009.50 = 20,257/x
  3. Step 3: Cross multiply
    36,673x = 55,009.50 × 20,257
  4. Step 4: Simplify right side
    36,673x = 1,114,327,441.50
  5. Step 5: Solve for x
    x = 1,114,327,441.50/36,673
  6. Step 6: Final answer
    x = 30,385.50

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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.