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Finding the Fourth Proportional to 13,873.67, 19,146 and 8,422.80

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Solution

The fourth proportional to 13,873.67, 19,146 and 8,422.80 is: 11,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.67 : 19,146 = 8,422.80 : x
  2. Step 2: Convert to fraction form
    13,873.67/19,146 = 8,422.80/x
  3. Step 3: Cross multiply
    13,873.67x = 19,146 × 8,422.80
  4. Step 4: Simplify right side
    13,873.67x = 161,262,928.80
  5. Step 5: Solve for x
    x = 161,262,928.80/13,873.67
  6. Step 6: Final answer
    x = 11,623.67

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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.