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Finding the Fourth Proportional to 27,270.19, 40,905.80 and 8,549.81

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Solution

The fourth proportional to 27,270.19, 40,905.80 and 8,549.81 is: 12,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.19 : 40,905.80 = 8,549.81 : x
  2. Step 2: Convert to fraction form
    27,270.19/40,905.80 = 8,549.81/x
  3. Step 3: Cross multiply
    27,270.19x = 40,905.80 × 8,549.81
  4. Step 4: Simplify right side
    27,270.19x = 349,736,817.90
  5. Step 5: Solve for x
    x = 349,736,817.90/27,270.19
  6. Step 6: Final answer
    x = 12,824.88

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