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Finding the Fourth Proportional to 7,980.35, 11,981.12 and 6,817.82

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Solution

The fourth proportional to 7,980.35, 11,981.12 and 6,817.82 is: 10,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.35 : 11,981.12 = 6,817.82 : x
  2. Step 2: Convert to fraction form
    7,980.35/11,981.12 = 6,817.82/x
  3. Step 3: Cross multiply
    7,980.35x = 11,981.12 × 6,817.82
  4. Step 4: Simplify right side
    7,980.35x = 81,685,025.56
  5. Step 5: Solve for x
    x = 81,685,025.56/7,980.35
  6. Step 6: Final answer
    x = 10,235.78

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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.