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Finding the Fourth Proportional to 27,881.80, 41,822.70 and 19,571.20

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Solution

The fourth proportional to 27,881.80, 41,822.70 and 19,571.20 is: 29,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.80 : 41,822.70 = 19,571.20 : x
  2. Step 2: Convert to fraction form
    27,881.80/41,822.70 = 19,571.20/x
  3. Step 3: Cross multiply
    27,881.80x = 41,822.70 × 19,571.20
  4. Step 4: Simplify right side
    27,881.80x = 818,520,426.24
  5. Step 5: Solve for x
    x = 818,520,426.24/27,881.80
  6. Step 6: Final answer
    x = 29,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.