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Finding the Fourth Proportional to 9,986.56, 14,975.22 and 5,827.78

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Solution

The fourth proportional to 9,986.56, 14,975.22 and 5,827.78 is: 8,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.56 : 14,975.22 = 5,827.78 : x
  2. Step 2: Convert to fraction form
    9,986.56/14,975.22 = 5,827.78/x
  3. Step 3: Cross multiply
    9,986.56x = 14,975.22 × 5,827.78
  4. Step 4: Simplify right side
    9,986.56x = 87,272,287.61
  5. Step 5: Solve for x
    x = 87,272,287.61/9,986.56
  6. Step 6: Final answer
    x = 8,738.97

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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.