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Finding the Fourth Proportional to 6,415.96, 8,856.12 and 4,027

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Solution

The fourth proportional to 6,415.96, 8,856.12 and 4,027 is: 5,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.96 : 8,856.12 = 4,027 : x
  2. Step 2: Convert to fraction form
    6,415.96/8,856.12 = 4,027/x
  3. Step 3: Cross multiply
    6,415.96x = 8,856.12 × 4,027
  4. Step 4: Simplify right side
    6,415.96x = 35,663,595.24
  5. Step 5: Solve for x
    x = 35,663,595.24/6,415.96
  6. Step 6: Final answer
    x = 5,558.58

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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.