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Finding the Fourth Proportional to 30,568, 45,852 and 8,680

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Solution

The fourth proportional to 30,568, 45,852 and 8,680 is: 13,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568 : 45,852 = 8,680 : x
  2. Step 2: Convert to fraction form
    30,568/45,852 = 8,680/x
  3. Step 3: Cross multiply
    30,568x = 45,852 × 8,680
  4. Step 4: Simplify right side
    30,568x = 397,995,360
  5. Step 5: Solve for x
    x = 397,995,360/30,568
  6. Step 6: Final answer
    x = 13,020

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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.