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Finding the Fourth Proportional to 11,927, 17,893.68 and 4,135.80

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Solution

The fourth proportional to 11,927, 17,893.68 and 4,135.80 is: 6,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927 : 17,893.68 = 4,135.80 : x
  2. Step 2: Convert to fraction form
    11,927/17,893.68 = 4,135.80/x
  3. Step 3: Cross multiply
    11,927x = 17,893.68 × 4,135.80
  4. Step 4: Simplify right side
    11,927x = 74,004,681.74
  5. Step 5: Solve for x
    x = 74,004,681.74/11,927
  6. Step 6: Final answer
    x = 6,204.80

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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.