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Finding the Fourth Proportional to 8,609.81, 12,914.71 and 2,770.52

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Solution

The fourth proportional to 8,609.81, 12,914.71 and 2,770.52 is: 4,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.81 : 12,914.71 = 2,770.52 : x
  2. Step 2: Convert to fraction form
    8,609.81/12,914.71 = 2,770.52/x
  3. Step 3: Cross multiply
    8,609.81x = 12,914.71 × 2,770.52
  4. Step 4: Simplify right side
    8,609.81x = 35,780,390.85
  5. Step 5: Solve for x
    x = 35,780,390.85/8,609.81
  6. Step 6: Final answer
    x = 4,155.77

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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.