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Finding the Fourth Proportional to 9,321.65, 13,984.67 and 3,081.66

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Solution

The fourth proportional to 9,321.65, 13,984.67 and 3,081.66 is: 4,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.65 : 13,984.67 = 3,081.66 : x
  2. Step 2: Convert to fraction form
    9,321.65/13,984.67 = 3,081.66/x
  3. Step 3: Cross multiply
    9,321.65x = 13,984.67 × 3,081.66
  4. Step 4: Simplify right side
    9,321.65x = 43,096,025.41
  5. Step 5: Solve for x
    x = 43,096,025.41/9,321.65
  6. Step 6: Final answer
    x = 4,623.22

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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.