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Finding the Fourth Proportional to 14,555, 20,080.86 and 8,180.72

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Solution

The fourth proportional to 14,555, 20,080.86 and 8,180.72 is: 11,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555 : 20,080.86 = 8,180.72 : x
  2. Step 2: Convert to fraction form
    14,555/20,080.86 = 8,180.72/x
  3. Step 3: Cross multiply
    14,555x = 20,080.86 × 8,180.72
  4. Step 4: Simplify right side
    14,555x = 164,275,893.02
  5. Step 5: Solve for x
    x = 164,275,893.02/14,555
  6. Step 6: Final answer
    x = 11,286.56

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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.