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Finding the Fourth Proportional to 1,821.98, 2,733.98 and 1,129.02

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Solution

The fourth proportional to 1,821.98, 2,733.98 and 1,129.02 is: 1,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.98 : 2,733.98 = 1,129.02 : x
  2. Step 2: Convert to fraction form
    1,821.98/2,733.98 = 1,129.02/x
  3. Step 3: Cross multiply
    1,821.98x = 2,733.98 × 1,129.02
  4. Step 4: Simplify right side
    1,821.98x = 3,086,712.45
  5. Step 5: Solve for x
    x = 3,086,712.45/1,821.98
  6. Step 6: Final answer
    x = 1,694.16

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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.