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Finding the Fourth Proportional to 13,613.99, 18,789.35 and 8,311.86

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Solution

The fourth proportional to 13,613.99, 18,789.35 and 8,311.86 is: 11,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.99 : 18,789.35 = 8,311.86 : x
  2. Step 2: Convert to fraction form
    13,613.99/18,789.35 = 8,311.86/x
  3. Step 3: Cross multiply
    13,613.99x = 18,789.35 × 8,311.86
  4. Step 4: Simplify right side
    13,613.99x = 156,174,405.13
  5. Step 5: Solve for x
    x = 156,174,405.13/13,613.99
  6. Step 6: Final answer
    x = 11,471.62

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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.