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Finding the Fourth Proportional to 1,922.22, 2,883.22 and 535.64

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Solution

The fourth proportional to 1,922.22, 2,883.22 and 535.64 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.22 : 2,883.22 = 535.64 : x
  2. Step 2: Convert to fraction form
    1,922.22/2,883.22 = 535.64/x
  3. Step 3: Cross multiply
    1,922.22x = 2,883.22 × 535.64
  4. Step 4: Simplify right side
    1,922.22x = 1,544,352.21
  5. Step 5: Solve for x
    x = 1,544,352.21/1,922.22
  6. Step 6: Final answer
    x = 803.42

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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.