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Finding the Fourth Proportional to 11,791.43, 16,272 and 6,485.93

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Solution

The fourth proportional to 11,791.43, 16,272 and 6,485.93 is: 8,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.43 : 16,272 = 6,485.93 : x
  2. Step 2: Convert to fraction form
    11,791.43/16,272 = 6,485.93/x
  3. Step 3: Cross multiply
    11,791.43x = 16,272 × 6,485.93
  4. Step 4: Simplify right side
    11,791.43x = 105,539,052.96
  5. Step 5: Solve for x
    x = 105,539,052.96/11,791.43
  6. Step 6: Final answer
    x = 8,950.49

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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.