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Finding the Fourth Proportional to 9,215.68, 13,819.92 and 4,018

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Solution

The fourth proportional to 9,215.68, 13,819.92 and 4,018 is: 6,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.68 : 13,819.92 = 4,018 : x
  2. Step 2: Convert to fraction form
    9,215.68/13,819.92 = 4,018/x
  3. Step 3: Cross multiply
    9,215.68x = 13,819.92 × 4,018
  4. Step 4: Simplify right side
    9,215.68x = 55,528,438.56
  5. Step 5: Solve for x
    x = 55,528,438.56/9,215.68
  6. Step 6: Final answer
    x = 6,025.43

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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.