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Finding the Fourth Proportional to 2,940.93, 4,407.12 and 1,842.15

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Solution

The fourth proportional to 2,940.93, 4,407.12 and 1,842.15 is: 2,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.93 : 4,407.12 = 1,842.15 : x
  2. Step 2: Convert to fraction form
    2,940.93/4,407.12 = 1,842.15/x
  3. Step 3: Cross multiply
    2,940.93x = 4,407.12 × 1,842.15
  4. Step 4: Simplify right side
    2,940.93x = 8,118,576.11
  5. Step 5: Solve for x
    x = 8,118,576.11/2,940.93
  6. Step 6: Final answer
    x = 2,760.55

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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.