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Finding the Fourth Proportional to 8,189.76, 12,280.80 and 4,861.44

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Solution

The fourth proportional to 8,189.76, 12,280.80 and 4,861.44 is: 7,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.76 : 12,280.80 = 4,861.44 : x
  2. Step 2: Convert to fraction form
    8,189.76/12,280.80 = 4,861.44/x
  3. Step 3: Cross multiply
    8,189.76x = 12,280.80 × 4,861.44
  4. Step 4: Simplify right side
    8,189.76x = 59,702,372.35
  5. Step 5: Solve for x
    x = 59,702,372.35/8,189.76
  6. Step 6: Final answer
    x = 7,289.88

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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.