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Finding the Fourth Proportional to 19,406, 29,084.64 and 8,299.62

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Solution

The fourth proportional to 19,406, 29,084.64 and 8,299.62 is: 12,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406 : 29,084.64 = 8,299.62 : x
  2. Step 2: Convert to fraction form
    19,406/29,084.64 = 8,299.62/x
  3. Step 3: Cross multiply
    19,406x = 29,084.64 × 8,299.62
  4. Step 4: Simplify right side
    19,406x = 241,391,459.84
  5. Step 5: Solve for x
    x = 241,391,459.84/19,406
  6. Step 6: Final answer
    x = 12,439.01

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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.