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Finding the Fourth Proportional to 18,309.80, 27,464.70 and 8,446.16

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Solution

The fourth proportional to 18,309.80, 27,464.70 and 8,446.16 is: 12,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309.80 : 27,464.70 = 8,446.16 : x
  2. Step 2: Convert to fraction form
    18,309.80/27,464.70 = 8,446.16/x
  3. Step 3: Cross multiply
    18,309.80x = 27,464.70 × 8,446.16
  4. Step 4: Simplify right side
    18,309.80x = 231,971,250.55
  5. Step 5: Solve for x
    x = 231,971,250.55/18,309.80
  6. Step 6: Final answer
    x = 12,669.24

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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.