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Finding the Fourth Proportional to 6,112.70, 8,435.04 and 3,754.86

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Solution

The fourth proportional to 6,112.70, 8,435.04 and 3,754.86 is: 5,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.70 : 8,435.04 = 3,754.86 : x
  2. Step 2: Convert to fraction form
    6,112.70/8,435.04 = 3,754.86/x
  3. Step 3: Cross multiply
    6,112.70x = 8,435.04 × 3,754.86
  4. Step 4: Simplify right side
    6,112.70x = 31,672,394.29
  5. Step 5: Solve for x
    x = 31,672,394.29/6,112.70
  6. Step 6: Final answer
    x = 5,181.41

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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.