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Finding the Fourth Proportional to 1,898.44, 2,619.84 and 1,200.76

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Solution

The fourth proportional to 1,898.44, 2,619.84 and 1,200.76 is: 1,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.44 : 2,619.84 = 1,200.76 : x
  2. Step 2: Convert to fraction form
    1,898.44/2,619.84 = 1,200.76/x
  3. Step 3: Cross multiply
    1,898.44x = 2,619.84 × 1,200.76
  4. Step 4: Simplify right side
    1,898.44x = 3,145,797.03
  5. Step 5: Solve for x
    x = 3,145,797.03/1,898.44
  6. Step 6: Final answer
    x = 1,657.05

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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.