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Finding the Fourth Proportional to 2,289.54, 3,154.23 and 1,895.34

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Solution

The fourth proportional to 2,289.54, 3,154.23 and 1,895.34 is: 2,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.54 : 3,154.23 = 1,895.34 : x
  2. Step 2: Convert to fraction form
    2,289.54/3,154.23 = 1,895.34/x
  3. Step 3: Cross multiply
    2,289.54x = 3,154.23 × 1,895.34
  4. Step 4: Simplify right side
    2,289.54x = 5,978,338.29
  5. Step 5: Solve for x
    x = 5,978,338.29/2,289.54
  6. Step 6: Final answer
    x = 2,611.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.