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Finding the Fourth Proportional to 3,027.86, 4,541.88 and 836.75

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Solution

The fourth proportional to 3,027.86, 4,541.88 and 836.75 is: 1,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.86 : 4,541.88 = 836.75 : x
  2. Step 2: Convert to fraction form
    3,027.86/4,541.88 = 836.75/x
  3. Step 3: Cross multiply
    3,027.86x = 4,541.88 × 836.75
  4. Step 4: Simplify right side
    3,027.86x = 3,800,418.09
  5. Step 5: Solve for x
    x = 3,800,418.09/3,027.86
  6. Step 6: Final answer
    x = 1,255.15

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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.