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Finding the Fourth Proportional to 13,716.81, 18,928.08 and 7,749

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Solution

The fourth proportional to 13,716.81, 18,928.08 and 7,749 is: 10,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.81 : 18,928.08 = 7,749 : x
  2. Step 2: Convert to fraction form
    13,716.81/18,928.08 = 7,749/x
  3. Step 3: Cross multiply
    13,716.81x = 18,928.08 × 7,749
  4. Step 4: Simplify right side
    13,716.81x = 146,673,691.92
  5. Step 5: Solve for x
    x = 146,673,691.92/13,716.81
  6. Step 6: Final answer
    x = 10,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.