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Finding the Fourth Proportional to 1,892.20, 2,833.50 and 1,583.30

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Solution

The fourth proportional to 1,892.20, 2,833.50 and 1,583.30 is: 2,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.20 : 2,833.50 = 1,583.30 : x
  2. Step 2: Convert to fraction form
    1,892.20/2,833.50 = 1,583.30/x
  3. Step 3: Cross multiply
    1,892.20x = 2,833.50 × 1,583.30
  4. Step 4: Simplify right side
    1,892.20x = 4,486,280.55
  5. Step 5: Solve for x
    x = 4,486,280.55/1,892.20
  6. Step 6: Final answer
    x = 2,370.93

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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.