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Finding the Fourth Proportional to 19,422.49, 29,141.93 and 12,410.41

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Solution

The fourth proportional to 19,422.49, 29,141.93 and 12,410.41 is: 18,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.49 : 29,141.93 = 12,410.41 : x
  2. Step 2: Convert to fraction form
    19,422.49/29,141.93 = 12,410.41/x
  3. Step 3: Cross multiply
    19,422.49x = 29,141.93 × 12,410.41
  4. Step 4: Simplify right side
    19,422.49x = 361,663,299.49
  5. Step 5: Solve for x
    x = 361,663,299.49/19,422.49
  6. Step 6: Final answer
    x = 18,620.85

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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.