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Finding the Fourth Proportional to 8,142.04, 11,231.22 and 4,996

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Solution

The fourth proportional to 8,142.04, 11,231.22 and 4,996 is: 6,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.04 : 11,231.22 = 4,996 : x
  2. Step 2: Convert to fraction form
    8,142.04/11,231.22 = 4,996/x
  3. Step 3: Cross multiply
    8,142.04x = 11,231.22 × 4,996
  4. Step 4: Simplify right side
    8,142.04x = 56,111,175.12
  5. Step 5: Solve for x
    x = 56,111,175.12/8,142.04
  6. Step 6: Final answer
    x = 6,891.54

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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.