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Finding the Fourth Proportional to 7,940.74, 11,911.12 and 2,018.07

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Solution

The fourth proportional to 7,940.74, 11,911.12 and 2,018.07 is: 3,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.74 : 11,911.12 = 2,018.07 : x
  2. Step 2: Convert to fraction form
    7,940.74/11,911.12 = 2,018.07/x
  3. Step 3: Cross multiply
    7,940.74x = 11,911.12 × 2,018.07
  4. Step 4: Simplify right side
    7,940.74x = 24,037,473.94
  5. Step 5: Solve for x
    x = 24,037,473.94/7,940.74
  6. Step 6: Final answer
    x = 3,027.11

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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.