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Finding the Fourth Proportional to 2,389.80, 3,583.20 and 829.44

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Solution

The fourth proportional to 2,389.80, 3,583.20 and 829.44 is: 1,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.80 : 3,583.20 = 829.44 : x
  2. Step 2: Convert to fraction form
    2,389.80/3,583.20 = 829.44/x
  3. Step 3: Cross multiply
    2,389.80x = 3,583.20 × 829.44
  4. Step 4: Simplify right side
    2,389.80x = 2,972,049.41
  5. Step 5: Solve for x
    x = 2,972,049.41/2,389.80
  6. Step 6: Final answer
    x = 1,243.64

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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.