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Finding the Fourth Proportional to 13,857.56, 20,788.36 and 4,494.52

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Solution

The fourth proportional to 13,857.56, 20,788.36 and 4,494.52 is: 6,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.56 : 20,788.36 = 4,494.52 : x
  2. Step 2: Convert to fraction form
    13,857.56/20,788.36 = 4,494.52/x
  3. Step 3: Cross multiply
    13,857.56x = 20,788.36 × 4,494.52
  4. Step 4: Simplify right side
    13,857.56x = 93,433,699.79
  5. Step 5: Solve for x
    x = 93,433,699.79/13,857.56
  6. Step 6: Final answer
    x = 6,742.44

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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.