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Finding the Fourth Proportional to 5,634.87, 7,777.92 and 3,956.68

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Solution

The fourth proportional to 5,634.87, 7,777.92 and 3,956.68 is: 5,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.87 : 7,777.92 = 3,956.68 : x
  2. Step 2: Convert to fraction form
    5,634.87/7,777.92 = 3,956.68/x
  3. Step 3: Cross multiply
    5,634.87x = 7,777.92 × 3,956.68
  4. Step 4: Simplify right side
    5,634.87x = 30,774,765.07
  5. Step 5: Solve for x
    x = 30,774,765.07/5,634.87
  6. Step 6: Final answer
    x = 5,461.49

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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.