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Finding the Fourth Proportional to 29,884, 41,242.80 and 16,636

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Solution

The fourth proportional to 29,884, 41,242.80 and 16,636 is: 22,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884 : 41,242.80 = 16,636 : x
  2. Step 2: Convert to fraction form
    29,884/41,242.80 = 16,636/x
  3. Step 3: Cross multiply
    29,884x = 41,242.80 × 16,636
  4. Step 4: Simplify right side
    29,884x = 686,115,220.80
  5. Step 5: Solve for x
    x = 686,115,220.80/29,884
  6. Step 6: Final answer
    x = 22,959.28

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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.