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Finding the Fourth Proportional to 8,474.92, 11,698.50 and 6,375.40

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Solution

The fourth proportional to 8,474.92, 11,698.50 and 6,375.40 is: 8,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.92 : 11,698.50 = 6,375.40 : x
  2. Step 2: Convert to fraction form
    8,474.92/11,698.50 = 6,375.40/x
  3. Step 3: Cross multiply
    8,474.92x = 11,698.50 × 6,375.40
  4. Step 4: Simplify right side
    8,474.92x = 74,582,616.90
  5. Step 5: Solve for x
    x = 74,582,616.90/8,474.92
  6. Step 6: Final answer
    x = 8,800.39

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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.