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Finding the Fourth Proportional to 2,751.77, 4,128.06 and 996.90

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Solution

The fourth proportional to 2,751.77, 4,128.06 and 996.90 is: 1,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.77 : 4,128.06 = 996.90 : x
  2. Step 2: Convert to fraction form
    2,751.77/4,128.06 = 996.90/x
  3. Step 3: Cross multiply
    2,751.77x = 4,128.06 × 996.90
  4. Step 4: Simplify right side
    2,751.77x = 4,115,273.33
  5. Step 5: Solve for x
    x = 4,115,273.33/2,751.77
  6. Step 6: Final answer
    x = 1,495.50

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1.5x scale

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.