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Finding the Fourth Proportional to 2,328.07, 3,491.01 and 846.25

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Solution

The fourth proportional to 2,328.07, 3,491.01 and 846.25 is: 1,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.07 : 3,491.01 = 846.25 : x
  2. Step 2: Convert to fraction form
    2,328.07/3,491.01 = 846.25/x
  3. Step 3: Cross multiply
    2,328.07x = 3,491.01 × 846.25
  4. Step 4: Simplify right side
    2,328.07x = 2,954,245.53
  5. Step 5: Solve for x
    x = 2,954,245.53/2,328.07
  6. Step 6: Final answer
    x = 1,268.97

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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.