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Finding the Fourth Proportional to 11,963.70, 17,940.69 and 5,209.65

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Solution

The fourth proportional to 11,963.70, 17,940.69 and 5,209.65 is: 7,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.70 : 17,940.69 = 5,209.65 : x
  2. Step 2: Convert to fraction form
    11,963.70/17,940.69 = 5,209.65/x
  3. Step 3: Cross multiply
    11,963.70x = 17,940.69 × 5,209.65
  4. Step 4: Simplify right side
    11,963.70x = 93,464,715.66
  5. Step 5: Solve for x
    x = 93,464,715.66/11,963.70
  6. Step 6: Final answer
    x = 7,812.36

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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.