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Finding the Fourth Proportional to 3,192.78, 4,789.25 and 884.30

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Solution

The fourth proportional to 3,192.78, 4,789.25 and 884.30 is: 1,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.78 : 4,789.25 = 884.30 : x
  2. Step 2: Convert to fraction form
    3,192.78/4,789.25 = 884.30/x
  3. Step 3: Cross multiply
    3,192.78x = 4,789.25 × 884.30
  4. Step 4: Simplify right side
    3,192.78x = 4,235,133.78
  5. Step 5: Solve for x
    x = 4,235,133.78/3,192.78
  6. Step 6: Final answer
    x = 1,326.47

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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.