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Finding the Fourth Proportional to 2,757.84, 3,801.36 and 2,167.28

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Solution

The fourth proportional to 2,757.84, 3,801.36 and 2,167.28 is: 2,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.84 : 3,801.36 = 2,167.28 : x
  2. Step 2: Convert to fraction form
    2,757.84/3,801.36 = 2,167.28/x
  3. Step 3: Cross multiply
    2,757.84x = 3,801.36 × 2,167.28
  4. Step 4: Simplify right side
    2,757.84x = 8,238,611.50
  5. Step 5: Solve for x
    x = 8,238,611.50/2,757.84
  6. Step 6: Final answer
    x = 2,987.34

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1.5x scale

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.