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Finding the Fourth Proportional to 2,976.62, 4,107.67 and 1,650.31

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Solution

The fourth proportional to 2,976.62, 4,107.67 and 1,650.31 is: 2,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.62 : 4,107.67 = 1,650.31 : x
  2. Step 2: Convert to fraction form
    2,976.62/4,107.67 = 1,650.31/x
  3. Step 3: Cross multiply
    2,976.62x = 4,107.67 × 1,650.31
  4. Step 4: Simplify right side
    2,976.62x = 6,778,914.48
  5. Step 5: Solve for x
    x = 6,778,914.48/2,976.62
  6. Step 6: Final answer
    x = 2,277.39

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1.5x scale

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.