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Finding the Fourth Proportional to 7,878.25, 11,819.31 and 2,406.25

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Solution

The fourth proportional to 7,878.25, 11,819.31 and 2,406.25 is: 3,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.25 : 11,819.31 = 2,406.25 : x
  2. Step 2: Convert to fraction form
    7,878.25/11,819.31 = 2,406.25/x
  3. Step 3: Cross multiply
    7,878.25x = 11,819.31 × 2,406.25
  4. Step 4: Simplify right side
    7,878.25x = 28,440,214.69
  5. Step 5: Solve for x
    x = 28,440,214.69/7,878.25
  6. Step 6: Final answer
    x = 3,609.97

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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.