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Finding the Fourth Proportional to 2,728.94, 3,765.90 and 1,550

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Solution

The fourth proportional to 2,728.94, 3,765.90 and 1,550 is: 2,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.94 : 3,765.90 = 1,550 : x
  2. Step 2: Convert to fraction form
    2,728.94/3,765.90 = 1,550/x
  3. Step 3: Cross multiply
    2,728.94x = 3,765.90 × 1,550
  4. Step 4: Simplify right side
    2,728.94x = 5,837,145
  5. Step 5: Solve for x
    x = 5,837,145/2,728.94
  6. Step 6: Final answer
    x = 2,138.98

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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.