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Finding the Fourth Proportional to 20,187.68, 30,273.84 and 9,236

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Solution

The fourth proportional to 20,187.68, 30,273.84 and 9,236 is: 13,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.68 : 30,273.84 = 9,236 : x
  2. Step 2: Convert to fraction form
    20,187.68/30,273.84 = 9,236/x
  3. Step 3: Cross multiply
    20,187.68x = 30,273.84 × 9,236
  4. Step 4: Simplify right side
    20,187.68x = 279,609,186.24
  5. Step 5: Solve for x
    x = 279,609,186.24/20,187.68
  6. Step 6: Final answer
    x = 13,850.49

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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.