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Finding the Fourth Proportional to 8,511.68, 11,742.86 and 6,278.90

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Solution

The fourth proportional to 8,511.68, 11,742.86 and 6,278.90 is: 8,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.68 : 11,742.86 = 6,278.90 : x
  2. Step 2: Convert to fraction form
    8,511.68/11,742.86 = 6,278.90/x
  3. Step 3: Cross multiply
    8,511.68x = 11,742.86 × 6,278.90
  4. Step 4: Simplify right side
    8,511.68x = 73,732,200.64
  5. Step 5: Solve for x
    x = 73,732,200.64/8,511.68
  6. Step 6: Final answer
    x = 8,662.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.