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Finding the Fourth Proportional to 2,092.84, 3,139.26 and 1,954.45

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Solution

The fourth proportional to 2,092.84, 3,139.26 and 1,954.45 is: 2,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.84 : 3,139.26 = 1,954.45 : x
  2. Step 2: Convert to fraction form
    2,092.84/3,139.26 = 1,954.45/x
  3. Step 3: Cross multiply
    2,092.84x = 3,139.26 × 1,954.45
  4. Step 4: Simplify right side
    2,092.84x = 6,135,523.30
  5. Step 5: Solve for x
    x = 6,135,523.30/2,092.84
  6. Step 6: Final answer
    x = 2,931.68

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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.