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Finding the Fourth Proportional to 29,695, 40,979.12 and 16,447

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Solution

The fourth proportional to 29,695, 40,979.12 and 16,447 is: 22,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695 : 40,979.12 = 16,447 : x
  2. Step 2: Convert to fraction form
    29,695/40,979.12 = 16,447/x
  3. Step 3: Cross multiply
    29,695x = 40,979.12 × 16,447
  4. Step 4: Simplify right side
    29,695x = 673,983,586.64
  5. Step 5: Solve for x
    x = 673,983,586.64/29,695
  6. Step 6: Final answer
    x = 22,696.87

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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.