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Finding the Fourth Proportional to 6,214.60, 8,571.85 and 5,189.73

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Solution

The fourth proportional to 6,214.60, 8,571.85 and 5,189.73 is: 7,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.60 : 8,571.85 = 5,189.73 : x
  2. Step 2: Convert to fraction form
    6,214.60/8,571.85 = 5,189.73/x
  3. Step 3: Cross multiply
    6,214.60x = 8,571.85 × 5,189.73
  4. Step 4: Simplify right side
    6,214.60x = 44,485,587.10
  5. Step 5: Solve for x
    x = 44,485,587.10/6,214.60
  6. Step 6: Final answer
    x = 7,158.24

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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.