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Finding the Fourth Proportional to 13,179.96, 18,190 and 8,646.48

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Solution

The fourth proportional to 13,179.96, 18,190 and 8,646.48 is: 11,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.96 : 18,190 = 8,646.48 : x
  2. Step 2: Convert to fraction form
    13,179.96/18,190 = 8,646.48/x
  3. Step 3: Cross multiply
    13,179.96x = 18,190 × 8,646.48
  4. Step 4: Simplify right side
    13,179.96x = 157,279,471.20
  5. Step 5: Solve for x
    x = 157,279,471.20/13,179.96
  6. Step 6: Final answer
    x = 11,933.23

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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.