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Finding the Fourth Proportional to 9,880, 13,636.68 and 6,523.48

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Solution

The fourth proportional to 9,880, 13,636.68 and 6,523.48 is: 9,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 13,636.68 = 6,523.48 : x
  2. Step 2: Convert to fraction form
    9,880/13,636.68 = 6,523.48/x
  3. Step 3: Cross multiply
    9,880x = 13,636.68 × 6,523.48
  4. Step 4: Simplify right side
    9,880x = 88,958,609.25
  5. Step 5: Solve for x
    x = 88,958,609.25/9,880
  6. Step 6: Final answer
    x = 9,003.91

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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.