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Finding the Fourth Proportional to 12,202, 16,833.12 and 7,164.61

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Solution

The fourth proportional to 12,202, 16,833.12 and 7,164.61 is: 9,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202 : 16,833.12 = 7,164.61 : x
  2. Step 2: Convert to fraction form
    12,202/16,833.12 = 7,164.61/x
  3. Step 3: Cross multiply
    12,202x = 16,833.12 × 7,164.61
  4. Step 4: Simplify right side
    12,202x = 120,602,739.88
  5. Step 5: Solve for x
    x = 120,602,739.88/12,202
  6. Step 6: Final answer
    x = 9,883.85

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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.