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Finding the Fourth Proportional to 13,485.44, 18,609 and 8,449.46

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Solution

The fourth proportional to 13,485.44, 18,609 and 8,449.46 is: 11,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.44 : 18,609 = 8,449.46 : x
  2. Step 2: Convert to fraction form
    13,485.44/18,609 = 8,449.46/x
  3. Step 3: Cross multiply
    13,485.44x = 18,609 × 8,449.46
  4. Step 4: Simplify right side
    13,485.44x = 157,236,001.14
  5. Step 5: Solve for x
    x = 157,236,001.14/13,485.44
  6. Step 6: Final answer
    x = 11,659.69

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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.