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Finding the Fourth Proportional to 7,874.59, 11,813.70 and 2,609.38

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Solution

The fourth proportional to 7,874.59, 11,813.70 and 2,609.38 is: 3,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.59 : 11,813.70 = 2,609.38 : x
  2. Step 2: Convert to fraction form
    7,874.59/11,813.70 = 2,609.38/x
  3. Step 3: Cross multiply
    7,874.59x = 11,813.70 × 2,609.38
  4. Step 4: Simplify right side
    7,874.59x = 30,826,432.51
  5. Step 5: Solve for x
    x = 30,826,432.51/7,874.59
  6. Step 6: Final answer
    x = 3,914.67

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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.