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Finding the Fourth Proportional to 3,768.40, 5,647.95 and 2,731.95

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Solution

The fourth proportional to 3,768.40, 5,647.95 and 2,731.95 is: 4,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.40 : 5,647.95 = 2,731.95 : x
  2. Step 2: Convert to fraction form
    3,768.40/5,647.95 = 2,731.95/x
  3. Step 3: Cross multiply
    3,768.40x = 5,647.95 × 2,731.95
  4. Step 4: Simplify right side
    3,768.40x = 15,429,917.00
  5. Step 5: Solve for x
    x = 15,429,917.00/3,768.40
  6. Step 6: Final answer
    x = 4,094.55

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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.