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Finding the Fourth Proportional to 12,494.24, 17,222.02 and 8,459.78

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Solution

The fourth proportional to 12,494.24, 17,222.02 and 8,459.78 is: 11,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.24 : 17,222.02 = 8,459.78 : x
  2. Step 2: Convert to fraction form
    12,494.24/17,222.02 = 8,459.78/x
  3. Step 3: Cross multiply
    12,494.24x = 17,222.02 × 8,459.78
  4. Step 4: Simplify right side
    12,494.24x = 145,694,500.36
  5. Step 5: Solve for x
    x = 145,694,500.36/12,494.24
  6. Step 6: Final answer
    x = 11,660.93

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