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Finding the Fourth Proportional to 13,212.80, 19,786.80 and 8,806.40

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Solution

The fourth proportional to 13,212.80, 19,786.80 and 8,806.40 is: 13,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.80 : 19,786.80 = 8,806.40 : x
  2. Step 2: Convert to fraction form
    13,212.80/19,786.80 = 8,806.40/x
  3. Step 3: Cross multiply
    13,212.80x = 19,786.80 × 8,806.40
  4. Step 4: Simplify right side
    13,212.80x = 174,250,475.52
  5. Step 5: Solve for x
    x = 174,250,475.52/13,212.80
  6. Step 6: Final answer
    x = 13,188.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.