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Finding the Fourth Proportional to 11,443, 15,791.58 and 6,475

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Solution

The fourth proportional to 11,443, 15,791.58 and 6,475 is: 8,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443 : 15,791.58 = 6,475 : x
  2. Step 2: Convert to fraction form
    11,443/15,791.58 = 6,475/x
  3. Step 3: Cross multiply
    11,443x = 15,791.58 × 6,475
  4. Step 4: Simplify right side
    11,443x = 102,250,480.50
  5. Step 5: Solve for x
    x = 102,250,480.50/11,443
  6. Step 6: Final answer
    x = 8,935.64

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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.