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Finding the Fourth Proportional to 30,186.40, 41,652 and 18,853.84

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Solution

The fourth proportional to 30,186.40, 41,652 and 18,853.84 is: 26,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.40 : 41,652 = 18,853.84 : x
  2. Step 2: Convert to fraction form
    30,186.40/41,652 = 18,853.84/x
  3. Step 3: Cross multiply
    30,186.40x = 41,652 × 18,853.84
  4. Step 4: Simplify right side
    30,186.40x = 785,300,143.68
  5. Step 5: Solve for x
    x = 785,300,143.68/30,186.40
  6. Step 6: Final answer
    x = 26,015.03

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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.