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Finding the Fourth Proportional to 13,167.56, 19,756.86 and 5,768.20

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Solution

The fourth proportional to 13,167.56, 19,756.86 and 5,768.20 is: 8,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.56 : 19,756.86 = 5,768.20 : x
  2. Step 2: Convert to fraction form
    13,167.56/19,756.86 = 5,768.20/x
  3. Step 3: Cross multiply
    13,167.56x = 19,756.86 × 5,768.20
  4. Step 4: Simplify right side
    13,167.56x = 113,961,519.85
  5. Step 5: Solve for x
    x = 113,961,519.85/13,167.56
  6. Step 6: Final answer
    x = 8,654.72

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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.