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Finding the Fourth Proportional to 11,779, 17,668.54 and 3,571

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Solution

The fourth proportional to 11,779, 17,668.54 and 3,571 is: 5,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 17,668.54 = 3,571 : x
  2. Step 2: Convert to fraction form
    11,779/17,668.54 = 3,571/x
  3. Step 3: Cross multiply
    11,779x = 17,668.54 × 3,571
  4. Step 4: Simplify right side
    11,779x = 63,094,356.34
  5. Step 5: Solve for x
    x = 63,094,356.34/11,779
  6. Step 6: Final answer
    x = 5,356.51

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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.