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Finding the Fourth Proportional to 7,980.29, 11,970.47 and 2,786.17

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Solution

The fourth proportional to 7,980.29, 11,970.47 and 2,786.17 is: 4,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.29 : 11,970.47 = 2,786.17 : x
  2. Step 2: Convert to fraction form
    7,980.29/11,970.47 = 2,786.17/x
  3. Step 3: Cross multiply
    7,980.29x = 11,970.47 × 2,786.17
  4. Step 4: Simplify right side
    7,980.29x = 33,351,741.44
  5. Step 5: Solve for x
    x = 33,351,741.44/7,980.29
  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.