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Finding the Fourth Proportional to 11,640.20, 17,426 and 7,684.16

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Solution

The fourth proportional to 11,640.20, 17,426 and 7,684.16 is: 11,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.20 : 17,426 = 7,684.16 : x
  2. Step 2: Convert to fraction form
    11,640.20/17,426 = 7,684.16/x
  3. Step 3: Cross multiply
    11,640.20x = 17,426 × 7,684.16
  4. Step 4: Simplify right side
    11,640.20x = 133,904,172.16
  5. Step 5: Solve for x
    x = 133,904,172.16/11,640.20
  6. Step 6: Final answer
    x = 11,503.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.