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Finding the Fourth Proportional to 7,120, 10,680 and 3,016

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Solution

The fourth proportional to 7,120, 10,680 and 3,016 is: 4,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 10,680 = 3,016 : x
  2. Step 2: Convert to fraction form
    7,120/10,680 = 3,016/x
  3. Step 3: Cross multiply
    7,120x = 10,680 × 3,016
  4. Step 4: Simplify right side
    7,120x = 32,210,880
  5. Step 5: Solve for x
    x = 32,210,880/7,120
  6. Step 6: Final answer
    x = 4,524

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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.