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Finding the Fourth Proportional to 1,922.40, 2,653.20 and 1,672.80

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Solution

The fourth proportional to 1,922.40, 2,653.20 and 1,672.80 is: 2,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.40 : 2,653.20 = 1,672.80 : x
  2. Step 2: Convert to fraction form
    1,922.40/2,653.20 = 1,672.80/x
  3. Step 3: Cross multiply
    1,922.40x = 2,653.20 × 1,672.80
  4. Step 4: Simplify right side
    1,922.40x = 4,438,272.96
  5. Step 5: Solve for x
    x = 4,438,272.96/1,922.40
  6. Step 6: Final answer
    x = 2,308.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.