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Finding the Fourth Proportional to 18,969.50, 26,163.10 and 12,164.16

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Solution

The fourth proportional to 18,969.50, 26,163.10 and 12,164.16 is: 16,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.50 : 26,163.10 = 12,164.16 : x
  2. Step 2: Convert to fraction form
    18,969.50/26,163.10 = 12,164.16/x
  3. Step 3: Cross multiply
    18,969.50x = 26,163.10 × 12,164.16
  4. Step 4: Simplify right side
    18,969.50x = 318,252,134.50
  5. Step 5: Solve for x
    x = 318,252,134.50/18,969.50
  6. Step 6: Final answer
    x = 16,777.04

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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.