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Finding the Fourth Proportional to 3,378, 4,661.64 and 1,906

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Solution

The fourth proportional to 3,378, 4,661.64 and 1,906 is: 2,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 4,661.64 = 1,906 : x
  2. Step 2: Convert to fraction form
    3,378/4,661.64 = 1,906/x
  3. Step 3: Cross multiply
    3,378x = 4,661.64 × 1,906
  4. Step 4: Simplify right side
    3,378x = 8,885,085.84
  5. Step 5: Solve for x
    x = 8,885,085.84/3,378
  6. Step 6: Final answer
    x = 2,630.28

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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.