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Finding the Fourth Proportional to 6,512.28, 8,978.49 and 4,150.32

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Solution

The fourth proportional to 6,512.28, 8,978.49 and 4,150.32 is: 5,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.28 : 8,978.49 = 4,150.32 : x
  2. Step 2: Convert to fraction form
    6,512.28/8,978.49 = 4,150.32/x
  3. Step 3: Cross multiply
    6,512.28x = 8,978.49 × 4,150.32
  4. Step 4: Simplify right side
    6,512.28x = 37,263,606.62
  5. Step 5: Solve for x
    x = 37,263,606.62/6,512.28
  6. Step 6: Final answer
    x = 5,722.05

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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.