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Finding the Fourth Proportional to 7,137.70, 10,707.06 and 2,206.70

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Solution

The fourth proportional to 7,137.70, 10,707.06 and 2,206.70 is: 3,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.70 : 10,707.06 = 2,206.70 : x
  2. Step 2: Convert to fraction form
    7,137.70/10,707.06 = 2,206.70/x
  3. Step 3: Cross multiply
    7,137.70x = 10,707.06 × 2,206.70
  4. Step 4: Simplify right side
    7,137.70x = 23,627,288.10
  5. Step 5: Solve for x
    x = 23,627,288.10/7,137.70
  6. Step 6: Final answer
    x = 3,310.21

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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.