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Finding the Fourth Proportional to 8,308.96, 11,454.88 and 6,636

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Solution

The fourth proportional to 8,308.96, 11,454.88 and 6,636 is: 9,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.96 : 11,454.88 = 6,636 : x
  2. Step 2: Convert to fraction form
    8,308.96/11,454.88 = 6,636/x
  3. Step 3: Cross multiply
    8,308.96x = 11,454.88 × 6,636
  4. Step 4: Simplify right side
    8,308.96x = 76,014,583.68
  5. Step 5: Solve for x
    x = 76,014,583.68/8,308.96
  6. Step 6: Final answer
    x = 9,148.51

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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.