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Finding the Fourth Proportional to 9,489.65, 14,243.19 and 4,812.92

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Solution

The fourth proportional to 9,489.65, 14,243.19 and 4,812.92 is: 7,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.65 : 14,243.19 = 4,812.92 : x
  2. Step 2: Convert to fraction form
    9,489.65/14,243.19 = 4,812.92/x
  3. Step 3: Cross multiply
    9,489.65x = 14,243.19 × 4,812.92
  4. Step 4: Simplify right side
    9,489.65x = 68,551,238.73
  5. Step 5: Solve for x
    x = 68,551,238.73/9,489.65
  6. Step 6: Final answer
    x = 7,223.79

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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.