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Finding the Fourth Proportional to 7,850.60, 11,765.18 and 3,957.64

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Solution

The fourth proportional to 7,850.60, 11,765.18 and 3,957.64 is: 5,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.60 : 11,765.18 = 3,957.64 : x
  2. Step 2: Convert to fraction form
    7,850.60/11,765.18 = 3,957.64/x
  3. Step 3: Cross multiply
    7,850.60x = 11,765.18 × 3,957.64
  4. Step 4: Simplify right side
    7,850.60x = 46,562,346.98
  5. Step 5: Solve for x
    x = 46,562,346.98/7,850.60
  6. Step 6: Final answer
    x = 5,931.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.