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Finding the Fourth Proportional to 1,821.80, 2,733.69 and 795.80

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Solution

The fourth proportional to 1,821.80, 2,733.69 and 795.80 is: 1,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.80 : 2,733.69 = 795.80 : x
  2. Step 2: Convert to fraction form
    1,821.80/2,733.69 = 795.80/x
  3. Step 3: Cross multiply
    1,821.80x = 2,733.69 × 795.80
  4. Step 4: Simplify right side
    1,821.80x = 2,175,470.50
  5. Step 5: Solve for x
    x = 2,175,470.50/1,821.80
  6. Step 6: Final answer
    x = 1,194.13

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1.5x scale

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.