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Finding the Fourth Proportional to 11,908.90, 17,858.77 and 5,664.10

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Solution

The fourth proportional to 11,908.90, 17,858.77 and 5,664.10 is: 8,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.90 : 17,858.77 = 5,664.10 : x
  2. Step 2: Convert to fraction form
    11,908.90/17,858.77 = 5,664.10/x
  3. Step 3: Cross multiply
    11,908.90x = 17,858.77 × 5,664.10
  4. Step 4: Simplify right side
    11,908.90x = 101,153,859.16
  5. Step 5: Solve for x
    x = 101,153,859.16/11,908.90
  6. Step 6: Final answer
    x = 8,493.97

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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.