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Finding the Fourth Proportional to 17,969.38, 24,801 and 10,420.54

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Solution

The fourth proportional to 17,969.38, 24,801 and 10,420.54 is: 14,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.38 : 24,801 = 10,420.54 : x
  2. Step 2: Convert to fraction form
    17,969.38/24,801 = 10,420.54/x
  3. Step 3: Cross multiply
    17,969.38x = 24,801 × 10,420.54
  4. Step 4: Simplify right side
    17,969.38x = 258,439,812.54
  5. Step 5: Solve for x
    x = 258,439,812.54/17,969.38
  6. Step 6: Final answer
    x = 14,382.23

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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.