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Finding the Fourth Proportional to 2,200.98, 3,297.42 and 1,379.10

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Solution

The fourth proportional to 2,200.98, 3,297.42 and 1,379.10 is: 2,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.98 : 3,297.42 = 1,379.10 : x
  2. Step 2: Convert to fraction form
    2,200.98/3,297.42 = 1,379.10/x
  3. Step 3: Cross multiply
    2,200.98x = 3,297.42 × 1,379.10
  4. Step 4: Simplify right side
    2,200.98x = 4,547,471.92
  5. Step 5: Solve for x
    x = 4,547,471.92/2,200.98
  6. Step 6: Final answer
    x = 2,066.11

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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.