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Finding the Fourth Proportional to 1,798.19, 2,481.50 and 1,012.49

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Solution

The fourth proportional to 1,798.19, 2,481.50 and 1,012.49 is: 1,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.19 : 2,481.50 = 1,012.49 : x
  2. Step 2: Convert to fraction form
    1,798.19/2,481.50 = 1,012.49/x
  3. Step 3: Cross multiply
    1,798.19x = 2,481.50 × 1,012.49
  4. Step 4: Simplify right side
    1,798.19x = 2,512,493.94
  5. Step 5: Solve for x
    x = 2,512,493.94/1,798.19
  6. Step 6: Final answer
    x = 1,397.23

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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.