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Finding the Fourth Proportional to 12,192.70, 16,825.68 and 6,815.18

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Solution

The fourth proportional to 12,192.70, 16,825.68 and 6,815.18 is: 9,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.70 : 16,825.68 = 6,815.18 : x
  2. Step 2: Convert to fraction form
    12,192.70/16,825.68 = 6,815.18/x
  3. Step 3: Cross multiply
    12,192.70x = 16,825.68 × 6,815.18
  4. Step 4: Simplify right side
    12,192.70x = 114,670,037.82
  5. Step 5: Solve for x
    x = 114,670,037.82/12,192.70
  6. Step 6: Final answer
    x = 9,404.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.