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Finding the Fourth Proportional to 11,791.84, 16,272.47 and 6,486.54

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Solution

The fourth proportional to 11,791.84, 16,272.47 and 6,486.54 is: 8,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.84 : 16,272.47 = 6,486.54 : x
  2. Step 2: Convert to fraction form
    11,791.84/16,272.47 = 6,486.54/x
  3. Step 3: Cross multiply
    11,791.84x = 16,272.47 × 6,486.54
  4. Step 4: Simplify right side
    11,791.84x = 105,551,995.12
  5. Step 5: Solve for x
    x = 105,551,995.12/11,791.84
  6. Step 6: Final answer
    x = 8,951.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.