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Finding the Fourth Proportional to 9,906, 13,670.62 and 6,680.16

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Solution

The fourth proportional to 9,906, 13,670.62 and 6,680.16 is: 9,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 13,670.62 = 6,680.16 : x
  2. Step 2: Convert to fraction form
    9,906/13,670.62 = 6,680.16/x
  3. Step 3: Cross multiply
    9,906x = 13,670.62 × 6,680.16
  4. Step 4: Simplify right side
    9,906x = 91,321,928.90
  5. Step 5: Solve for x
    x = 91,321,928.90/9,906
  6. Step 6: Final answer
    x = 9,218.85

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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.