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Finding the Fourth Proportional to 8,036, 11,091.84 and 5,245.28

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Solution

The fourth proportional to 8,036, 11,091.84 and 5,245.28 is: 7,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036 : 11,091.84 = 5,245.28 : x
  2. Step 2: Convert to fraction form
    8,036/11,091.84 = 5,245.28/x
  3. Step 3: Cross multiply
    8,036x = 11,091.84 × 5,245.28
  4. Step 4: Simplify right side
    8,036x = 58,179,806.52
  5. Step 5: Solve for x
    x = 58,179,806.52/8,036
  6. Step 6: Final answer
    x = 7,239.90

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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.