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Finding the Fourth Proportional to 8,765.82, 13,140.88 and 3,217.86

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Solution

The fourth proportional to 8,765.82, 13,140.88 and 3,217.86 is: 4,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.82 : 13,140.88 = 3,217.86 : x
  2. Step 2: Convert to fraction form
    8,765.82/13,140.88 = 3,217.86/x
  3. Step 3: Cross multiply
    8,765.82x = 13,140.88 × 3,217.86
  4. Step 4: Simplify right side
    8,765.82x = 42,285,512.12
  5. Step 5: Solve for x
    x = 42,285,512.12/8,765.82
  6. Step 6: Final answer
    x = 4,823.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.