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Finding the Fourth Proportional to 13,135, 18,129.34 and 8,659.56

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Solution

The fourth proportional to 13,135, 18,129.34 and 8,659.56 is: 11,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 18,129.34 = 8,659.56 : x
  2. Step 2: Convert to fraction form
    13,135/18,129.34 = 8,659.56/x
  3. Step 3: Cross multiply
    13,135x = 18,129.34 × 8,659.56
  4. Step 4: Simplify right side
    13,135x = 156,992,107.49
  5. Step 5: Solve for x
    x = 156,992,107.49/13,135
  6. Step 6: Final answer
    x = 11,952.20

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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.