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Finding the Fourth Proportional to 2,378.44, 3,567.67 and 839.44

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Solution

The fourth proportional to 2,378.44, 3,567.67 and 839.44 is: 1,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.44 : 3,567.67 = 839.44 : x
  2. Step 2: Convert to fraction form
    2,378.44/3,567.67 = 839.44/x
  3. Step 3: Cross multiply
    2,378.44x = 3,567.67 × 839.44
  4. Step 4: Simplify right side
    2,378.44x = 2,994,833.89
  5. Step 5: Solve for x
    x = 2,994,833.89/2,378.44
  6. Step 6: Final answer
    x = 1,259.16

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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.