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Finding the Fourth Proportional to 13,689.75, 18,888.29 and 8,021.46

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Solution

The fourth proportional to 13,689.75, 18,888.29 and 8,021.46 is: 11,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.75 : 18,888.29 = 8,021.46 : x
  2. Step 2: Convert to fraction form
    13,689.75/18,888.29 = 8,021.46/x
  3. Step 3: Cross multiply
    13,689.75x = 18,888.29 × 8,021.46
  4. Step 4: Simplify right side
    13,689.75x = 151,511,528.15
  5. Step 5: Solve for x
    x = 151,511,528.15/13,689.75
  6. Step 6: Final answer
    x = 11,067.52

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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.