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Finding the Fourth Proportional to 7,310.46, 10,078.56 and 6,313.62

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Solution

The fourth proportional to 7,310.46, 10,078.56 and 6,313.62 is: 8,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.46 : 10,078.56 = 6,313.62 : x
  2. Step 2: Convert to fraction form
    7,310.46/10,078.56 = 6,313.62/x
  3. Step 3: Cross multiply
    7,310.46x = 10,078.56 × 6,313.62
  4. Step 4: Simplify right side
    7,310.46x = 63,632,197.99
  5. Step 5: Solve for x
    x = 63,632,197.99/7,310.46
  6. Step 6: Final answer
    x = 8,704.27

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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.