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Finding the Fourth Proportional to 8,605.74, 11,879.56 and 5,815.02

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Solution

The fourth proportional to 8,605.74, 11,879.56 and 5,815.02 is: 8,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.74 : 11,879.56 = 5,815.02 : x
  2. Step 2: Convert to fraction form
    8,605.74/11,879.56 = 5,815.02/x
  3. Step 3: Cross multiply
    8,605.74x = 11,879.56 × 5,815.02
  4. Step 4: Simplify right side
    8,605.74x = 69,079,878.99
  5. Step 5: Solve for x
    x = 69,079,878.99/8,605.74
  6. Step 6: Final answer
    x = 8,027.19

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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.