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Finding the Fourth Proportional to 8,370, 12,551.31 and 2,525.22

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Solution

The fourth proportional to 8,370, 12,551.31 and 2,525.22 is: 3,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 12,551.31 = 2,525.22 : x
  2. Step 2: Convert to fraction form
    8,370/12,551.31 = 2,525.22/x
  3. Step 3: Cross multiply
    8,370x = 12,551.31 × 2,525.22
  4. Step 4: Simplify right side
    8,370x = 31,694,819.04
  5. Step 5: Solve for x
    x = 31,694,819.04/8,370
  6. Step 6: Final answer
    x = 3,786.72

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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.