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Finding the Fourth Proportional to 1,738.05, 2,600.54 and 1,219.07

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Solution

The fourth proportional to 1,738.05, 2,600.54 and 1,219.07 is: 1,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.05 : 2,600.54 = 1,219.07 : x
  2. Step 2: Convert to fraction form
    1,738.05/2,600.54 = 1,219.07/x
  3. Step 3: Cross multiply
    1,738.05x = 2,600.54 × 1,219.07
  4. Step 4: Simplify right side
    1,738.05x = 3,170,240.09
  5. Step 5: Solve for x
    x = 3,170,240.09/1,738.05
  6. Step 6: Final answer
    x = 1,824.02

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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.