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Finding the Fourth Proportional to 17,871, 24,662 and 10,420.44

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Solution

The fourth proportional to 17,871, 24,662 and 10,420.44 is: 14,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871 : 24,662 = 10,420.44 : x
  2. Step 2: Convert to fraction form
    17,871/24,662 = 10,420.44/x
  3. Step 3: Cross multiply
    17,871x = 24,662 × 10,420.44
  4. Step 4: Simplify right side
    17,871x = 256,988,891.28
  5. Step 5: Solve for x
    x = 256,988,891.28/17,871
  6. Step 6: Final answer
    x = 14,380.22

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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.