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Finding the Fourth Proportional to 13,450.74, 18,549 and 8,974.68

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Solution

The fourth proportional to 13,450.74, 18,549 and 8,974.68 is: 12,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.74 : 18,549 = 8,974.68 : x
  2. Step 2: Convert to fraction form
    13,450.74/18,549 = 8,974.68/x
  3. Step 3: Cross multiply
    13,450.74x = 18,549 × 8,974.68
  4. Step 4: Simplify right side
    13,450.74x = 166,471,339.32
  5. Step 5: Solve for x
    x = 166,471,339.32/13,450.74
  6. Step 6: Final answer
    x = 12,376.37

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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.