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Finding the Fourth Proportional to 29,420, 40,599.60 and 16,172

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Solution

The fourth proportional to 29,420, 40,599.60 and 16,172 is: 22,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,420 : 40,599.60 = 16,172 : x
  2. Step 2: Convert to fraction form
    29,420/40,599.60 = 16,172/x
  3. Step 3: Cross multiply
    29,420x = 40,599.60 × 16,172
  4. Step 4: Simplify right side
    29,420x = 656,576,731.20
  5. Step 5: Solve for x
    x = 656,576,731.20/29,420
  6. Step 6: Final answer
    x = 22,317.36

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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.