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Finding the Fourth Proportional to 33,218, 45,840.84 and 18,314

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Solution

The fourth proportional to 33,218, 45,840.84 and 18,314 is: 25,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218 : 45,840.84 = 18,314 : x
  2. Step 2: Convert to fraction form
    33,218/45,840.84 = 18,314/x
  3. Step 3: Cross multiply
    33,218x = 45,840.84 × 18,314
  4. Step 4: Simplify right side
    33,218x = 839,529,143.76
  5. Step 5: Solve for x
    x = 839,529,143.76/33,218
  6. Step 6: Final answer
    x = 25,273.32

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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.