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Finding the Fourth Proportional to 2,392.78, 3,281.43 and 2,293

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Solution

The fourth proportional to 2,392.78, 3,281.43 and 2,293 is: 3,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.78 : 3,281.43 = 2,293 : x
  2. Step 2: Convert to fraction form
    2,392.78/3,281.43 = 2,293/x
  3. Step 3: Cross multiply
    2,392.78x = 3,281.43 × 2,293
  4. Step 4: Simplify right side
    2,392.78x = 7,524,318.99
  5. Step 5: Solve for x
    x = 7,524,318.99/2,392.78
  6. Step 6: Final answer
    x = 3,144.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.