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Finding the Fourth Proportional to 2,754.53, 3,801.84 and 2,155.84

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Solution

The fourth proportional to 2,754.53, 3,801.84 and 2,155.84 is: 2,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.53 : 3,801.84 = 2,155.84 : x
  2. Step 2: Convert to fraction form
    2,754.53/3,801.84 = 2,155.84/x
  3. Step 3: Cross multiply
    2,754.53x = 3,801.84 × 2,155.84
  4. Step 4: Simplify right side
    2,754.53x = 8,196,146.64
  5. Step 5: Solve for x
    x = 8,196,146.64/2,754.53
  6. Step 6: Final answer
    x = 2,975.52

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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.