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Finding the Fourth Proportional to 9,212.80, 13,786.80 and 6,296.80

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Solution

The fourth proportional to 9,212.80, 13,786.80 and 6,296.80 is: 9,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.80 : 13,786.80 = 6,296.80 : x
  2. Step 2: Convert to fraction form
    9,212.80/13,786.80 = 6,296.80/x
  3. Step 3: Cross multiply
    9,212.80x = 13,786.80 × 6,296.80
  4. Step 4: Simplify right side
    9,212.80x = 86,812,722.24
  5. Step 5: Solve for x
    x = 86,812,722.24/9,212.80
  6. Step 6: Final answer
    x = 9,423.06

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1.5x scale

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.