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Finding the Fourth Proportional to 16,964.80, 25,454.40 and 8,195.20

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Solution

The fourth proportional to 16,964.80, 25,454.40 and 8,195.20 is: 12,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.80 : 25,454.40 = 8,195.20 : x
  2. Step 2: Convert to fraction form
    16,964.80/25,454.40 = 8,195.20/x
  3. Step 3: Cross multiply
    16,964.80x = 25,454.40 × 8,195.20
  4. Step 4: Simplify right side
    16,964.80x = 208,603,898.88
  5. Step 5: Solve for x
    x = 208,603,898.88/16,964.80
  6. Step 6: Final answer
    x = 12,296.28

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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.