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Finding the Fourth Proportional to 12,892.42, 19,339.98 and 5,497.66

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Solution

The fourth proportional to 12,892.42, 19,339.98 and 5,497.66 is: 8,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.42 : 19,339.98 = 5,497.66 : x
  2. Step 2: Convert to fraction form
    12,892.42/19,339.98 = 5,497.66/x
  3. Step 3: Cross multiply
    12,892.42x = 19,339.98 × 5,497.66
  4. Step 4: Simplify right side
    12,892.42x = 106,324,634.45
  5. Step 5: Solve for x
    x = 106,324,634.45/12,892.42
  6. Step 6: Final answer
    x = 8,247.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.