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Finding the Fourth Proportional to 11,670, 17,505 and 3,878.82

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Solution

The fourth proportional to 11,670, 17,505 and 3,878.82 is: 5,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 17,505 = 3,878.82 : x
  2. Step 2: Convert to fraction form
    11,670/17,505 = 3,878.82/x
  3. Step 3: Cross multiply
    11,670x = 17,505 × 3,878.82
  4. Step 4: Simplify right side
    11,670x = 67,898,744.10
  5. Step 5: Solve for x
    x = 67,898,744.10/11,670
  6. Step 6: Final answer
    x = 5,818.23

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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.