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Finding the Fourth Proportional to 13,182.80, 18,187.79 and 8,148.14

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Solution

The fourth proportional to 13,182.80, 18,187.79 and 8,148.14 is: 11,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.80 : 18,187.79 = 8,148.14 : x
  2. Step 2: Convert to fraction form
    13,182.80/18,187.79 = 8,148.14/x
  3. Step 3: Cross multiply
    13,182.80x = 18,187.79 × 8,148.14
  4. Step 4: Simplify right side
    13,182.80x = 148,196,743.87
  5. Step 5: Solve for x
    x = 148,196,743.87/13,182.80
  6. Step 6: Final answer
    x = 11,241.67

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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.