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Finding the Fourth Proportional to 13,745.97, 18,969.86 and 7,778.57

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Solution

The fourth proportional to 13,745.97, 18,969.86 and 7,778.57 is: 10,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.97 : 18,969.86 = 7,778.57 : x
  2. Step 2: Convert to fraction form
    13,745.97/18,969.86 = 7,778.57/x
  3. Step 3: Cross multiply
    13,745.97x = 18,969.86 × 7,778.57
  4. Step 4: Simplify right side
    13,745.97x = 147,558,308.50
  5. Step 5: Solve for x
    x = 147,558,308.50/13,745.97
  6. Step 6: Final answer
    x = 10,734.66

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1.5x scale

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.