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Finding the Fourth Proportional to 8,731.82, 13,030.66 and 7,797.62

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Solution

The fourth proportional to 8,731.82, 13,030.66 and 7,797.62 is: 11,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.82 : 13,030.66 = 7,797.62 : x
  2. Step 2: Convert to fraction form
    8,731.82/13,030.66 = 7,797.62/x
  3. Step 3: Cross multiply
    8,731.82x = 13,030.66 × 7,797.62
  4. Step 4: Simplify right side
    8,731.82x = 101,608,135.03
  5. Step 5: Solve for x
    x = 101,608,135.03/8,731.82
  6. Step 6: Final answer
    x = 11,636.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.