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Finding the Fourth Proportional to 8,617, 11,891.72 and 5,083.24

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Solution

The fourth proportional to 8,617, 11,891.72 and 5,083.24 is: 7,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617 : 11,891.72 = 5,083.24 : x
  2. Step 2: Convert to fraction form
    8,617/11,891.72 = 5,083.24/x
  3. Step 3: Cross multiply
    8,617x = 11,891.72 × 5,083.24
  4. Step 4: Simplify right side
    8,617x = 60,448,466.77
  5. Step 5: Solve for x
    x = 60,448,466.77/8,617
  6. Step 6: Final answer
    x = 7,015.02

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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.