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Finding the Fourth Proportional to 1,884.10, 2,824.20 and 844.60

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Solution

The fourth proportional to 1,884.10, 2,824.20 and 844.60 is: 1,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.10 : 2,824.20 = 844.60 : x
  2. Step 2: Convert to fraction form
    1,884.10/2,824.20 = 844.60/x
  3. Step 3: Cross multiply
    1,884.10x = 2,824.20 × 844.60
  4. Step 4: Simplify right side
    1,884.10x = 2,385,319.32
  5. Step 5: Solve for x
    x = 2,385,319.32/1,884.10
  6. Step 6: Final answer
    x = 1,266.03

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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.