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Finding the Fourth Proportional to 5,378, 7,422.96 and 3,283.88

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Solution

The fourth proportional to 5,378, 7,422.96 and 3,283.88 is: 4,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 7,422.96 = 3,283.88 : x
  2. Step 2: Convert to fraction form
    5,378/7,422.96 = 3,283.88/x
  3. Step 3: Cross multiply
    5,378x = 7,422.96 × 3,283.88
  4. Step 4: Simplify right side
    5,378x = 24,376,109.88
  5. Step 5: Solve for x
    x = 24,376,109.88/5,378
  6. Step 6: Final answer
    x = 4,532.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.