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Finding the Fourth Proportional to 2,389.49, 3,583.52 and 829.23

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Solution

The fourth proportional to 2,389.49, 3,583.52 and 829.23 is: 1,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.49 : 3,583.52 = 829.23 : x
  2. Step 2: Convert to fraction form
    2,389.49/3,583.52 = 829.23/x
  3. Step 3: Cross multiply
    2,389.49x = 3,583.52 × 829.23
  4. Step 4: Simplify right side
    2,389.49x = 2,971,562.29
  5. Step 5: Solve for x
    x = 2,971,562.29/2,389.49
  6. Step 6: Final answer
    x = 1,243.60

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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.