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Finding the Fourth Proportional to 8,527.24, 11,767.78 and 5,169.40

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Solution

The fourth proportional to 8,527.24, 11,767.78 and 5,169.40 is: 7,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.24 : 11,767.78 = 5,169.40 : x
  2. Step 2: Convert to fraction form
    8,527.24/11,767.78 = 5,169.40/x
  3. Step 3: Cross multiply
    8,527.24x = 11,767.78 × 5,169.40
  4. Step 4: Simplify right side
    8,527.24x = 60,832,361.93
  5. Step 5: Solve for x
    x = 60,832,361.93/8,527.24
  6. Step 6: Final answer
    x = 7,133.89

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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.