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Finding the Fourth Proportional to 2,763.62, 4,144.68 and 788.81

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Solution

The fourth proportional to 2,763.62, 4,144.68 and 788.81 is: 1,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.62 : 4,144.68 = 788.81 : x
  2. Step 2: Convert to fraction form
    2,763.62/4,144.68 = 788.81/x
  3. Step 3: Cross multiply
    2,763.62x = 4,144.68 × 788.81
  4. Step 4: Simplify right side
    2,763.62x = 3,269,344.31
  5. Step 5: Solve for x
    x = 3,269,344.31/2,763.62
  6. Step 6: Final answer
    x = 1,183.00

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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.