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Finding the Fourth Proportional to 4,128.75, 5,708.49 and 3,945.15

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Solution

The fourth proportional to 4,128.75, 5,708.49 and 3,945.15 is: 5,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.75 : 5,708.49 = 3,945.15 : x
  2. Step 2: Convert to fraction form
    4,128.75/5,708.49 = 3,945.15/x
  3. Step 3: Cross multiply
    4,128.75x = 5,708.49 × 3,945.15
  4. Step 4: Simplify right side
    4,128.75x = 22,520,849.32
  5. Step 5: Solve for x
    x = 22,520,849.32/4,128.75
  6. Step 6: Final answer
    x = 5,454.64

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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.