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Finding the Fourth Proportional to 1,922.52, 2,884.09 and 623.69

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Solution

The fourth proportional to 1,922.52, 2,884.09 and 623.69 is: 935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.52 : 2,884.09 = 623.69 : x
  2. Step 2: Convert to fraction form
    1,922.52/2,884.09 = 623.69/x
  3. Step 3: Cross multiply
    1,922.52x = 2,884.09 × 623.69
  4. Step 4: Simplify right side
    1,922.52x = 1,798,778.09
  5. Step 5: Solve for x
    x = 1,798,778.09/1,922.52
  6. Step 6: Final answer
    x = 935.64

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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.