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Finding the Fourth Proportional to 11,791.32, 16,272 and 6,486.24

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Solution

The fourth proportional to 11,791.32, 16,272 and 6,486.24 is: 8,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.32 : 16,272 = 6,486.24 : x
  2. Step 2: Convert to fraction form
    11,791.32/16,272 = 6,486.24/x
  3. Step 3: Cross multiply
    11,791.32x = 16,272 × 6,486.24
  4. Step 4: Simplify right side
    11,791.32x = 105,544,097.28
  5. Step 5: Solve for x
    x = 105,544,097.28/11,791.32
  6. Step 6: Final answer
    x = 8,951.00

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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.