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Finding the Fourth Proportional to 29,440, 40,629 and 16,694.38

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Solution

The fourth proportional to 29,440, 40,629 and 16,694.38 is: 23,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,440 : 40,629 = 16,694.38 : x
  2. Step 2: Convert to fraction form
    29,440/40,629 = 16,694.38/x
  3. Step 3: Cross multiply
    29,440x = 40,629 × 16,694.38
  4. Step 4: Simplify right side
    29,440x = 678,275,965.02
  5. Step 5: Solve for x
    x = 678,275,965.02/29,440
  6. Step 6: Final answer
    x = 23,039.27

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Why These Related Problems?

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