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Finding the Fourth Proportional to 1,989.36, 2,984.11 and 863.53

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Solution

The fourth proportional to 1,989.36, 2,984.11 and 863.53 is: 1,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.36 : 2,984.11 = 863.53 : x
  2. Step 2: Convert to fraction form
    1,989.36/2,984.11 = 863.53/x
  3. Step 3: Cross multiply
    1,989.36x = 2,984.11 × 863.53
  4. Step 4: Simplify right side
    1,989.36x = 2,576,858.89
  5. Step 5: Solve for x
    x = 2,576,858.89/1,989.36
  6. Step 6: Final answer
    x = 1,295.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.