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Finding the Fourth Proportional to 2,362.81, 3,544.25 and 823.81

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Solution

The fourth proportional to 2,362.81, 3,544.25 and 823.81 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.81 : 3,544.25 = 823.81 : x
  2. Step 2: Convert to fraction form
    2,362.81/3,544.25 = 823.81/x
  3. Step 3: Cross multiply
    2,362.81x = 3,544.25 × 823.81
  4. Step 4: Simplify right side
    2,362.81x = 2,919,788.59
  5. Step 5: Solve for x
    x = 2,919,788.59/2,362.81
  6. Step 6: Final answer
    x = 1,235.73

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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.