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Finding the Fourth Proportional to 14,973.64, 20,659.09 and 8,684.80

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Solution

The fourth proportional to 14,973.64, 20,659.09 and 8,684.80 is: 11,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.64 : 20,659.09 = 8,684.80 : x
  2. Step 2: Convert to fraction form
    14,973.64/20,659.09 = 8,684.80/x
  3. Step 3: Cross multiply
    14,973.64x = 20,659.09 × 8,684.80
  4. Step 4: Simplify right side
    14,973.64x = 179,419,918.11
  5. Step 5: Solve for x
    x = 179,419,918.11/14,973.64
  6. Step 6: Final answer
    x = 11,982.39

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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.