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Finding the Fourth Proportional to 2,892.48, 3,990 and 1,842.72

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Solution

The fourth proportional to 2,892.48, 3,990 and 1,842.72 is: 2,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.48 : 3,990 = 1,842.72 : x
  2. Step 2: Convert to fraction form
    2,892.48/3,990 = 1,842.72/x
  3. Step 3: Cross multiply
    2,892.48x = 3,990 × 1,842.72
  4. Step 4: Simplify right side
    2,892.48x = 7,352,452.80
  5. Step 5: Solve for x
    x = 7,352,452.80/2,892.48
  6. Step 6: Final answer
    x = 2,541.92

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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.