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Finding the Fourth Proportional to 15,214, 20,994.60 and 8,926

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Solution

The fourth proportional to 15,214, 20,994.60 and 8,926 is: 12,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214 : 20,994.60 = 8,926 : x
  2. Step 2: Convert to fraction form
    15,214/20,994.60 = 8,926/x
  3. Step 3: Cross multiply
    15,214x = 20,994.60 × 8,926
  4. Step 4: Simplify right side
    15,214x = 187,397,799.60
  5. Step 5: Solve for x
    x = 187,397,799.60/15,214
  6. Step 6: Final answer
    x = 12,317.46

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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.