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Finding the Fourth Proportional to 4,378, 6,568.80 and 3,213.94

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Solution

The fourth proportional to 4,378, 6,568.80 and 3,213.94 is: 4,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,568.80 = 3,213.94 : x
  2. Step 2: Convert to fraction form
    4,378/6,568.80 = 3,213.94/x
  3. Step 3: Cross multiply
    4,378x = 6,568.80 × 3,213.94
  4. Step 4: Simplify right side
    4,378x = 21,111,729.07
  5. Step 5: Solve for x
    x = 21,111,729.07/4,378
  6. Step 6: Final answer
    x = 4,822.23

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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.