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Finding the Fourth Proportional to 13,716.66, 20,542.08 and 7,461.12

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Solution

The fourth proportional to 13,716.66, 20,542.08 and 7,461.12 is: 11,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.66 : 20,542.08 = 7,461.12 : x
  2. Step 2: Convert to fraction form
    13,716.66/20,542.08 = 7,461.12/x
  3. Step 3: Cross multiply
    13,716.66x = 20,542.08 × 7,461.12
  4. Step 4: Simplify right side
    13,716.66x = 153,266,923.93
  5. Step 5: Solve for x
    x = 153,266,923.93/13,716.66
  6. Step 6: Final answer
    x = 11,173.78

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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.