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Finding the Fourth Proportional to 2,300.56, 3,450.08 and 914.24

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Solution

The fourth proportional to 2,300.56, 3,450.08 and 914.24 is: 1,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.56 : 3,450.08 = 914.24 : x
  2. Step 2: Convert to fraction form
    2,300.56/3,450.08 = 914.24/x
  3. Step 3: Cross multiply
    2,300.56x = 3,450.08 × 914.24
  4. Step 4: Simplify right side
    2,300.56x = 3,154,201.14
  5. Step 5: Solve for x
    x = 3,154,201.14/2,300.56
  6. Step 6: Final answer
    x = 1,371.06

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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.