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Finding the Fourth Proportional to 13,851.58, 20,780.20 and 5,086.56

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Solution

The fourth proportional to 13,851.58, 20,780.20 and 5,086.56 is: 7,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.58 : 20,780.20 = 5,086.56 : x
  2. Step 2: Convert to fraction form
    13,851.58/20,780.20 = 5,086.56/x
  3. Step 3: Cross multiply
    13,851.58x = 20,780.20 × 5,086.56
  4. Step 4: Simplify right side
    13,851.58x = 105,699,734.11
  5. Step 5: Solve for x
    x = 105,699,734.11/13,851.58
  6. Step 6: Final answer
    x = 7,630.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.