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Finding the Fourth Proportional to 3,500, 4,830 and 1,928.18

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Solution

The fourth proportional to 3,500, 4,830 and 1,928.18 is: 2,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500 : 4,830 = 1,928.18 : x
  2. Step 2: Convert to fraction form
    3,500/4,830 = 1,928.18/x
  3. Step 3: Cross multiply
    3,500x = 4,830 × 1,928.18
  4. Step 4: Simplify right side
    3,500x = 9,313,109.40
  5. Step 5: Solve for x
    x = 9,313,109.40/3,500
  6. Step 6: Final answer
    x = 2,660.89

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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.