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Finding the Fourth Proportional to 30,188.44, 41,642.94 and 18,991

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Solution

The fourth proportional to 30,188.44, 41,642.94 and 18,991 is: 26,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.44 : 41,642.94 = 18,991 : x
  2. Step 2: Convert to fraction form
    30,188.44/41,642.94 = 18,991/x
  3. Step 3: Cross multiply
    30,188.44x = 41,642.94 × 18,991
  4. Step 4: Simplify right side
    30,188.44x = 790,841,073.54
  5. Step 5: Solve for x
    x = 790,841,073.54/30,188.44
  6. Step 6: Final answer
    x = 26,196.82

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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.