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Finding the Fourth Proportional to 2,912.48, 4,014.42 and 2,282

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Solution

The fourth proportional to 2,912.48, 4,014.42 and 2,282 is: 3,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.48 : 4,014.42 = 2,282 : x
  2. Step 2: Convert to fraction form
    2,912.48/4,014.42 = 2,282/x
  3. Step 3: Cross multiply
    2,912.48x = 4,014.42 × 2,282
  4. Step 4: Simplify right side
    2,912.48x = 9,160,906.44
  5. Step 5: Solve for x
    x = 9,160,906.44/2,912.48
  6. Step 6: Final answer
    x = 3,145.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.