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Finding the Fourth Proportional to 2,300.25, 3,447.99 and 912.99

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Solution

The fourth proportional to 2,300.25, 3,447.99 and 912.99 is: 1,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.25 : 3,447.99 = 912.99 : x
  2. Step 2: Convert to fraction form
    2,300.25/3,447.99 = 912.99/x
  3. Step 3: Cross multiply
    2,300.25x = 3,447.99 × 912.99
  4. Step 4: Simplify right side
    2,300.25x = 3,147,980.39
  5. Step 5: Solve for x
    x = 3,147,980.39/2,300.25
  6. Step 6: Final answer
    x = 1,368.54

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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.