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Finding the Fourth Proportional to 13,167.68, 19,757.01 and 5,777.45

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Solution

The fourth proportional to 13,167.68, 19,757.01 and 5,777.45 is: 8,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.68 : 19,757.01 = 5,777.45 : x
  2. Step 2: Convert to fraction form
    13,167.68/19,757.01 = 5,777.45/x
  3. Step 3: Cross multiply
    13,167.68x = 19,757.01 × 5,777.45
  4. Step 4: Simplify right side
    13,167.68x = 114,145,137.42
  5. Step 5: Solve for x
    x = 114,145,137.42/13,167.68
  6. Step 6: Final answer
    x = 8,668.58

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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.