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Finding the Fourth Proportional to 13,114.86, 18,101.79 and 8,863.98

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Solution

The fourth proportional to 13,114.86, 18,101.79 and 8,863.98 is: 12,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.86 : 18,101.79 = 8,863.98 : x
  2. Step 2: Convert to fraction form
    13,114.86/18,101.79 = 8,863.98/x
  3. Step 3: Cross multiply
    13,114.86x = 18,101.79 × 8,863.98
  4. Step 4: Simplify right side
    13,114.86x = 160,453,904.52
  5. Step 5: Solve for x
    x = 160,453,904.52/13,114.86
  6. Step 6: Final answer
    x = 12,234.51

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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.