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Finding the Fourth Proportional to 2,137.70, 3,206.98 and 905.10

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Solution

The fourth proportional to 2,137.70, 3,206.98 and 905.10 is: 1,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.70 : 3,206.98 = 905.10 : x
  2. Step 2: Convert to fraction form
    2,137.70/3,206.98 = 905.10/x
  3. Step 3: Cross multiply
    2,137.70x = 3,206.98 × 905.10
  4. Step 4: Simplify right side
    2,137.70x = 2,902,633.07
  5. Step 5: Solve for x
    x = 2,902,633.07/2,137.70
  6. Step 6: Final answer
    x = 1,357.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.