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Finding the Fourth Proportional to 12,305.22, 18,462.15 and 7,682.82

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Solution

The fourth proportional to 12,305.22, 18,462.15 and 7,682.82 is: 11,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.22 : 18,462.15 = 7,682.82 : x
  2. Step 2: Convert to fraction form
    12,305.22/18,462.15 = 7,682.82/x
  3. Step 3: Cross multiply
    12,305.22x = 18,462.15 × 7,682.82
  4. Step 4: Simplify right side
    12,305.22x = 141,841,375.26
  5. Step 5: Solve for x
    x = 141,841,375.26/12,305.22
  6. Step 6: Final answer
    x = 11,526.93

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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.