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Finding the Fourth Proportional to 30,400.50, 41,945.29 and 17,822.82

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Solution

The fourth proportional to 30,400.50, 41,945.29 and 17,822.82 is: 24,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.50 : 41,945.29 = 17,822.82 : x
  2. Step 2: Convert to fraction form
    30,400.50/41,945.29 = 17,822.82/x
  3. Step 3: Cross multiply
    30,400.50x = 41,945.29 × 17,822.82
  4. Step 4: Simplify right side
    30,400.50x = 747,583,353.52
  5. Step 5: Solve for x
    x = 747,583,353.52/30,400.50
  6. Step 6: Final answer
    x = 24,591.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.