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Finding the Fourth Proportional to 2,064.38, 3,092.72 and 1,023.19

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Solution

The fourth proportional to 2,064.38, 3,092.72 and 1,023.19 is: 1,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.38 : 3,092.72 = 1,023.19 : x
  2. Step 2: Convert to fraction form
    2,064.38/3,092.72 = 1,023.19/x
  3. Step 3: Cross multiply
    2,064.38x = 3,092.72 × 1,023.19
  4. Step 4: Simplify right side
    2,064.38x = 3,164,427.33
  5. Step 5: Solve for x
    x = 3,164,427.33/2,064.38
  6. Step 6: Final answer
    x = 1,532.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.