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Finding the Fourth Proportional to 33,420, 46,119.60 and 19,991.82

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Solution

The fourth proportional to 33,420, 46,119.60 and 19,991.82 is: 27,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420 : 46,119.60 = 19,991.82 : x
  2. Step 2: Convert to fraction form
    33,420/46,119.60 = 19,991.82/x
  3. Step 3: Cross multiply
    33,420x = 46,119.60 × 19,991.82
  4. Step 4: Simplify right side
    33,420x = 922,014,741.67
  5. Step 5: Solve for x
    x = 922,014,741.67/33,420
  6. Step 6: Final answer
    x = 27,588.71

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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.