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Finding the Fourth Proportional to 17,420, 24,039.60 and 9,968

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Solution

The fourth proportional to 17,420, 24,039.60 and 9,968 is: 13,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420 : 24,039.60 = 9,968 : x
  2. Step 2: Convert to fraction form
    17,420/24,039.60 = 9,968/x
  3. Step 3: Cross multiply
    17,420x = 24,039.60 × 9,968
  4. Step 4: Simplify right side
    17,420x = 239,626,732.80
  5. Step 5: Solve for x
    x = 239,626,732.80/17,420
  6. Step 6: Final answer
    x = 13,755.84

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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.