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Finding the Fourth Proportional to 7,977.99, 11,967 and 3,300.66

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Solution

The fourth proportional to 7,977.99, 11,967 and 3,300.66 is: 4,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.99 : 11,967 = 3,300.66 : x
  2. Step 2: Convert to fraction form
    7,977.99/11,967 = 3,300.66/x
  3. Step 3: Cross multiply
    7,977.99x = 11,967 × 3,300.66
  4. Step 4: Simplify right side
    7,977.99x = 39,498,998.22
  5. Step 5: Solve for x
    x = 39,498,998.22/7,977.99
  6. Step 6: Final answer
    x = 4,951.00

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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.