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Finding the Fourth Proportional to 6,851.45, 10,258.09 and 4,380.17

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Solution

The fourth proportional to 6,851.45, 10,258.09 and 4,380.17 is: 6,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.45 : 10,258.09 = 4,380.17 : x
  2. Step 2: Convert to fraction form
    6,851.45/10,258.09 = 4,380.17/x
  3. Step 3: Cross multiply
    6,851.45x = 10,258.09 × 4,380.17
  4. Step 4: Simplify right side
    6,851.45x = 44,932,178.08
  5. Step 5: Solve for x
    x = 44,932,178.08/6,851.45
  6. Step 6: Final answer
    x = 6,558.05

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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.