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Finding the Fourth Proportional to 2,528.58, 3,791.85 and 884.74

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Solution

The fourth proportional to 2,528.58, 3,791.85 and 884.74 is: 1,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.58 : 3,791.85 = 884.74 : x
  2. Step 2: Convert to fraction form
    2,528.58/3,791.85 = 884.74/x
  3. Step 3: Cross multiply
    2,528.58x = 3,791.85 × 884.74
  4. Step 4: Simplify right side
    2,528.58x = 3,354,796.95
  5. Step 5: Solve for x
    x = 3,354,796.95/2,528.58
  6. Step 6: Final answer
    x = 1,326.75

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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.