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Finding the Fourth Proportional to 2,976.56, 4,107.64 and 1,650.28

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Solution

The fourth proportional to 2,976.56, 4,107.64 and 1,650.28 is: 2,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.56 : 4,107.64 = 1,650.28 : x
  2. Step 2: Convert to fraction form
    2,976.56/4,107.64 = 1,650.28/x
  3. Step 3: Cross multiply
    2,976.56x = 4,107.64 × 1,650.28
  4. Step 4: Simplify right side
    2,976.56x = 6,778,756.14
  5. Step 5: Solve for x
    x = 6,778,756.14/2,976.56
  6. Step 6: Final answer
    x = 2,277.38

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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.