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Finding the Fourth Proportional to 17,640.78, 24,344.65 and 10,087.80

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Solution

The fourth proportional to 17,640.78, 24,344.65 and 10,087.80 is: 13,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.78 : 24,344.65 = 10,087.80 : x
  2. Step 2: Convert to fraction form
    17,640.78/24,344.65 = 10,087.80/x
  3. Step 3: Cross multiply
    17,640.78x = 24,344.65 × 10,087.80
  4. Step 4: Simplify right side
    17,640.78x = 245,583,960.27
  5. Step 5: Solve for x
    x = 245,583,960.27/17,640.78
  6. Step 6: Final answer
    x = 13,921.38

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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.