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Finding the Fourth Proportional to 3,842.90, 5,760.23 and 2,743.93

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Solution

The fourth proportional to 3,842.90, 5,760.23 and 2,743.93 is: 4,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.90 : 5,760.23 = 2,743.93 : x
  2. Step 2: Convert to fraction form
    3,842.90/5,760.23 = 2,743.93/x
  3. Step 3: Cross multiply
    3,842.90x = 5,760.23 × 2,743.93
  4. Step 4: Simplify right side
    3,842.90x = 15,805,639.10
  5. Step 5: Solve for x
    x = 15,805,639.10/3,842.90
  6. Step 6: Final answer
    x = 4,112.95

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1.5x scale

Why These Related Problems?

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