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Finding the Fourth Proportional to 11,633.65, 17,443.84 and 7,940.35

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Solution

The fourth proportional to 11,633.65, 17,443.84 and 7,940.35 is: 11,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.65 : 17,443.84 = 7,940.35 : x
  2. Step 2: Convert to fraction form
    11,633.65/17,443.84 = 7,940.35/x
  3. Step 3: Cross multiply
    11,633.65x = 17,443.84 × 7,940.35
  4. Step 4: Simplify right side
    11,633.65x = 138,510,194.94
  5. Step 5: Solve for x
    x = 138,510,194.94/11,633.65
  6. Step 6: Final answer
    x = 11,906.00

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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.