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Finding the Fourth Proportional to 9,685.39, 13,368 and 6,147.94

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Solution

The fourth proportional to 9,685.39, 13,368 and 6,147.94 is: 8,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.39 : 13,368 = 6,147.94 : x
  2. Step 2: Convert to fraction form
    9,685.39/13,368 = 6,147.94/x
  3. Step 3: Cross multiply
    9,685.39x = 13,368 × 6,147.94
  4. Step 4: Simplify right side
    9,685.39x = 82,185,661.92
  5. Step 5: Solve for x
    x = 82,185,661.92/9,685.39
  6. Step 6: Final answer
    x = 8,485.53

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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.