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Finding the Fourth Proportional to 2,736, 4,103.28 and 1,485.36

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Solution

The fourth proportional to 2,736, 4,103.28 and 1,485.36 is: 2,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 4,103.28 = 1,485.36 : x
  2. Step 2: Convert to fraction form
    2,736/4,103.28 = 1,485.36/x
  3. Step 3: Cross multiply
    2,736x = 4,103.28 × 1,485.36
  4. Step 4: Simplify right side
    2,736x = 6,094,847.98
  5. Step 5: Solve for x
    x = 6,094,847.98/2,736
  6. Step 6: Final answer
    x = 2,227.65

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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.