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Finding the Fourth Proportional to 1,798.49, 2,481.90 and 1,012.53

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Solution

The fourth proportional to 1,798.49, 2,481.90 and 1,012.53 is: 1,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.49 : 2,481.90 = 1,012.53 : x
  2. Step 2: Convert to fraction form
    1,798.49/2,481.90 = 1,012.53/x
  3. Step 3: Cross multiply
    1,798.49x = 2,481.90 × 1,012.53
  4. Step 4: Simplify right side
    1,798.49x = 2,512,998.21
  5. Step 5: Solve for x
    x = 2,512,998.21/1,798.49
  6. Step 6: Final answer
    x = 1,397.28

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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.