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Finding the Fourth Proportional to 5,634.32, 8,451.32 and 2,172.32

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Solution

The fourth proportional to 5,634.32, 8,451.32 and 2,172.32 is: 3,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.32 : 8,451.32 = 2,172.32 : x
  2. Step 2: Convert to fraction form
    5,634.32/8,451.32 = 2,172.32/x
  3. Step 3: Cross multiply
    5,634.32x = 8,451.32 × 2,172.32
  4. Step 4: Simplify right side
    5,634.32x = 18,358,971.46
  5. Step 5: Solve for x
    x = 18,358,971.46/5,634.32
  6. Step 6: Final answer
    x = 3,258.42

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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.