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Finding the Fourth Proportional to 2,738.88, 4,108.91 and 983.97

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Solution

The fourth proportional to 2,738.88, 4,108.91 and 983.97 is: 1,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.88 : 4,108.91 = 983.97 : x
  2. Step 2: Convert to fraction form
    2,738.88/4,108.91 = 983.97/x
  3. Step 3: Cross multiply
    2,738.88x = 4,108.91 × 983.97
  4. Step 4: Simplify right side
    2,738.88x = 4,043,039.25
  5. Step 5: Solve for x
    x = 4,043,039.25/2,738.88
  6. Step 6: Final answer
    x = 1,476.17

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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.