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Finding the Fourth Proportional to 2,728.10, 3,765 and 1,533.20

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Solution

The fourth proportional to 2,728.10, 3,765 and 1,533.20 is: 2,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.10 : 3,765 = 1,533.20 : x
  2. Step 2: Convert to fraction form
    2,728.10/3,765 = 1,533.20/x
  3. Step 3: Cross multiply
    2,728.10x = 3,765 × 1,533.20
  4. Step 4: Simplify right side
    2,728.10x = 5,772,498
  5. Step 5: Solve for x
    x = 5,772,498/2,728.10
  6. Step 6: Final answer
    x = 2,115.94

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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.