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Finding the Fourth Proportional to 7,137.42, 10,706.64 and 2,206.42

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Solution

The fourth proportional to 7,137.42, 10,706.64 and 2,206.42 is: 3,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.42 : 10,706.64 = 2,206.42 : x
  2. Step 2: Convert to fraction form
    7,137.42/10,706.64 = 2,206.42/x
  3. Step 3: Cross multiply
    7,137.42x = 10,706.64 × 2,206.42
  4. Step 4: Simplify right side
    7,137.42x = 23,623,382.22
  5. Step 5: Solve for x
    x = 23,623,382.22/7,137.42
  6. Step 6: Final answer
    x = 3,309.79

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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.