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Finding the Fourth Proportional to 2,280.72, 3,135.44 and 2,266.68

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Solution

The fourth proportional to 2,280.72, 3,135.44 and 2,266.68 is: 3,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.72 : 3,135.44 = 2,266.68 : x
  2. Step 2: Convert to fraction form
    2,280.72/3,135.44 = 2,266.68/x
  3. Step 3: Cross multiply
    2,280.72x = 3,135.44 × 2,266.68
  4. Step 4: Simplify right side
    2,280.72x = 7,107,039.14
  5. Step 5: Solve for x
    x = 7,107,039.14/2,280.72
  6. Step 6: Final answer
    x = 3,116.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.