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Finding the Fourth Proportional to 7,980.28, 11,970.48 and 2,786.16

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Solution

The fourth proportional to 7,980.28, 11,970.48 and 2,786.16 is: 4,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.28 : 11,970.48 = 2,786.16 : x
  2. Step 2: Convert to fraction form
    7,980.28/11,970.48 = 2,786.16/x
  3. Step 3: Cross multiply
    7,980.28x = 11,970.48 × 2,786.16
  4. Step 4: Simplify right side
    7,980.28x = 33,351,672.56
  5. Step 5: Solve for x
    x = 33,351,672.56/7,980.28
  6. Step 6: Final answer
    x = 4,179.26

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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.