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Finding the Fourth Proportional to 13,751.81, 18,977.78 and 8,974.82

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Solution

The fourth proportional to 13,751.81, 18,977.78 and 8,974.82 is: 12,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.81 : 18,977.78 = 8,974.82 : x
  2. Step 2: Convert to fraction form
    13,751.81/18,977.78 = 8,974.82/x
  3. Step 3: Cross multiply
    13,751.81x = 18,977.78 × 8,974.82
  4. Step 4: Simplify right side
    13,751.81x = 170,322,072.15
  5. Step 5: Solve for x
    x = 170,322,072.15/13,751.81
  6. Step 6: Final answer
    x = 12,385.43

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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.