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Finding the Fourth Proportional to 2,846.92, 4,270.39 and 1,384.82

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Solution

The fourth proportional to 2,846.92, 4,270.39 and 1,384.82 is: 2,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.92 : 4,270.39 = 1,384.82 : x
  2. Step 2: Convert to fraction form
    2,846.92/4,270.39 = 1,384.82/x
  3. Step 3: Cross multiply
    2,846.92x = 4,270.39 × 1,384.82
  4. Step 4: Simplify right side
    2,846.92x = 5,913,721.48
  5. Step 5: Solve for x
    x = 5,913,721.48/2,846.92
  6. Step 6: Final answer
    x = 2,077.23

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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.