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Finding the Fourth Proportional to 7,136.10, 10,705.17 and 2,206.17

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Solution

The fourth proportional to 7,136.10, 10,705.17 and 2,206.17 is: 3,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.10 : 10,705.17 = 2,206.17 : x
  2. Step 2: Convert to fraction form
    7,136.10/10,705.17 = 2,206.17/x
  3. Step 3: Cross multiply
    7,136.10x = 10,705.17 × 2,206.17
  4. Step 4: Simplify right side
    7,136.10x = 23,617,424.90
  5. Step 5: Solve for x
    x = 23,617,424.90/7,136.10
  6. Step 6: Final answer
    x = 3,309.57

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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.