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Finding the Fourth Proportional to 8,930.82, 12,314.46 and 5,696.34

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Solution

The fourth proportional to 8,930.82, 12,314.46 and 5,696.34 is: 7,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.82 : 12,314.46 = 5,696.34 : x
  2. Step 2: Convert to fraction form
    8,930.82/12,314.46 = 5,696.34/x
  3. Step 3: Cross multiply
    8,930.82x = 12,314.46 × 5,696.34
  4. Step 4: Simplify right side
    8,930.82x = 70,147,331.56
  5. Step 5: Solve for x
    x = 70,147,331.56/8,930.82
  6. Step 6: Final answer
    x = 7,854.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.