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Finding the Fourth Proportional to 3,128.94, 4,694 and 937.48

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Solution

The fourth proportional to 3,128.94, 4,694 and 937.48 is: 1,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.94 : 4,694 = 937.48 : x
  2. Step 2: Convert to fraction form
    3,128.94/4,694 = 937.48/x
  3. Step 3: Cross multiply
    3,128.94x = 4,694 × 937.48
  4. Step 4: Simplify right side
    3,128.94x = 4,400,531.12
  5. Step 5: Solve for x
    x = 4,400,531.12/3,128.94
  6. Step 6: Final answer
    x = 1,406.40

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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.