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Finding the Fourth Proportional to 3,465.14, 5,197.31 and 867.88

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Solution

The fourth proportional to 3,465.14, 5,197.31 and 867.88 is: 1,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.14 : 5,197.31 = 867.88 : x
  2. Step 2: Convert to fraction form
    3,465.14/5,197.31 = 867.88/x
  3. Step 3: Cross multiply
    3,465.14x = 5,197.31 × 867.88
  4. Step 4: Simplify right side
    3,465.14x = 4,510,611.08
  5. Step 5: Solve for x
    x = 4,510,611.08/3,465.14
  6. Step 6: Final answer
    x = 1,301.71

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