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Finding the Fourth Proportional to 7,861.70, 11,784.18 and 4,115.18

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Solution

The fourth proportional to 7,861.70, 11,784.18 and 4,115.18 is: 6,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.70 : 11,784.18 = 4,115.18 : x
  2. Step 2: Convert to fraction form
    7,861.70/11,784.18 = 4,115.18/x
  3. Step 3: Cross multiply
    7,861.70x = 11,784.18 × 4,115.18
  4. Step 4: Simplify right side
    7,861.70x = 48,494,021.85
  5. Step 5: Solve for x
    x = 48,494,021.85/7,861.70
  6. Step 6: Final answer
    x = 6,168.39

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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.