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Finding the Fourth Proportional to 7,878.96, 11,819.26 and 3,497.40

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Solution

The fourth proportional to 7,878.96, 11,819.26 and 3,497.40 is: 5,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.96 : 11,819.26 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    7,878.96/11,819.26 = 3,497.40/x
  3. Step 3: Cross multiply
    7,878.96x = 11,819.26 × 3,497.40
  4. Step 4: Simplify right side
    7,878.96x = 41,336,679.92
  5. Step 5: Solve for x
    x = 41,336,679.92/7,878.96
  6. Step 6: Final answer
    x = 5,246.46

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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.