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Finding the Fourth Proportional to 12,193.54, 18,290.84 and 4,193.82

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Solution

The fourth proportional to 12,193.54, 18,290.84 and 4,193.82 is: 6,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.54 : 18,290.84 = 4,193.82 : x
  2. Step 2: Convert to fraction form
    12,193.54/18,290.84 = 4,193.82/x
  3. Step 3: Cross multiply
    12,193.54x = 18,290.84 × 4,193.82
  4. Step 4: Simplify right side
    12,193.54x = 76,708,429.99
  5. Step 5: Solve for x
    x = 76,708,429.99/12,193.54
  6. Step 6: Final answer
    x = 6,290.91

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1.5x scale

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.