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Finding the Fourth Proportional to 13,188.56, 18,195 and 8,714.60

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Solution

The fourth proportional to 13,188.56, 18,195 and 8,714.60 is: 12,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.56 : 18,195 = 8,714.60 : x
  2. Step 2: Convert to fraction form
    13,188.56/18,195 = 8,714.60/x
  3. Step 3: Cross multiply
    13,188.56x = 18,195 × 8,714.60
  4. Step 4: Simplify right side
    13,188.56x = 158,562,147
  5. Step 5: Solve for x
    x = 158,562,147/13,188.56
  6. Step 6: Final answer
    x = 12,022.70

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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.