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Finding the Fourth Proportional to 1,818.75, 2,728.82 and 844.19

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Solution

The fourth proportional to 1,818.75, 2,728.82 and 844.19 is: 1,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.75 : 2,728.82 = 844.19 : x
  2. Step 2: Convert to fraction form
    1,818.75/2,728.82 = 844.19/x
  3. Step 3: Cross multiply
    1,818.75x = 2,728.82 × 844.19
  4. Step 4: Simplify right side
    1,818.75x = 2,303,641.26
  5. Step 5: Solve for x
    x = 2,303,641.26/1,818.75
  6. Step 6: Final answer
    x = 1,266.60

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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.