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Finding the Fourth Proportional to 8,511.43, 11,742.52 and 6,278.65

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Solution

The fourth proportional to 8,511.43, 11,742.52 and 6,278.65 is: 8,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.43 : 11,742.52 = 6,278.65 : x
  2. Step 2: Convert to fraction form
    8,511.43/11,742.52 = 6,278.65/x
  3. Step 3: Cross multiply
    8,511.43x = 11,742.52 × 6,278.65
  4. Step 4: Simplify right side
    8,511.43x = 73,727,173.20
  5. Step 5: Solve for x
    x = 73,727,173.20/8,511.43
  6. Step 6: Final answer
    x = 8,662.14

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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.