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Finding the Fourth Proportional to 11,670.78, 17,509.05 and 3,879.66

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Solution

The fourth proportional to 11,670.78, 17,509.05 and 3,879.66 is: 5,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.78 : 17,509.05 = 3,879.66 : x
  2. Step 2: Convert to fraction form
    11,670.78/17,509.05 = 3,879.66/x
  3. Step 3: Cross multiply
    11,670.78x = 17,509.05 × 3,879.66
  4. Step 4: Simplify right side
    11,670.78x = 67,929,160.92
  5. Step 5: Solve for x
    x = 67,929,160.92/11,670.78
  6. Step 6: Final answer
    x = 5,820.45

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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.