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Finding the Fourth Proportional to 17,115.40, 25,675.80 and 5,429.80

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Solution

The fourth proportional to 17,115.40, 25,675.80 and 5,429.80 is: 8,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.40 : 25,675.80 = 5,429.80 : x
  2. Step 2: Convert to fraction form
    17,115.40/25,675.80 = 5,429.80/x
  3. Step 3: Cross multiply
    17,115.40x = 25,675.80 × 5,429.80
  4. Step 4: Simplify right side
    17,115.40x = 139,414,458.84
  5. Step 5: Solve for x
    x = 139,414,458.84/17,115.40
  6. Step 6: Final answer
    x = 8,145.56

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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.