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Finding the Fourth Proportional to 7,136.70, 10,706.19 and 2,205.18

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Solution

The fourth proportional to 7,136.70, 10,706.19 and 2,205.18 is: 3,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.70 : 10,706.19 = 2,205.18 : x
  2. Step 2: Convert to fraction form
    7,136.70/10,706.19 = 2,205.18/x
  3. Step 3: Cross multiply
    7,136.70x = 10,706.19 × 2,205.18
  4. Step 4: Simplify right side
    7,136.70x = 23,609,076.06
  5. Step 5: Solve for x
    x = 23,609,076.06/7,136.70
  6. Step 6: Final answer
    x = 3,308.12

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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.