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Finding the Fourth Proportional to 18,527.12, 27,790.68 and 6,223.76

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Solution

The fourth proportional to 18,527.12, 27,790.68 and 6,223.76 is: 9,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.12 : 27,790.68 = 6,223.76 : x
  2. Step 2: Convert to fraction form
    18,527.12/27,790.68 = 6,223.76/x
  3. Step 3: Cross multiply
    18,527.12x = 27,790.68 × 6,223.76
  4. Step 4: Simplify right side
    18,527.12x = 172,962,522.56
  5. Step 5: Solve for x
    x = 172,962,522.56/18,527.12
  6. Step 6: Final answer
    x = 9,335.64

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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.