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Finding the Fourth Proportional to 7,076.64, 9,765.96 and 3,933

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Solution

The fourth proportional to 7,076.64, 9,765.96 and 3,933 is: 5,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.64 : 9,765.96 = 3,933 : x
  2. Step 2: Convert to fraction form
    7,076.64/9,765.96 = 3,933/x
  3. Step 3: Cross multiply
    7,076.64x = 9,765.96 × 3,933
  4. Step 4: Simplify right side
    7,076.64x = 38,409,520.68
  5. Step 5: Solve for x
    x = 38,409,520.68/7,076.64
  6. Step 6: Final answer
    x = 5,427.65

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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.