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Finding the Fourth Proportional to 9,792, 14,662.80 and 6,839.52

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Solution

The fourth proportional to 9,792, 14,662.80 and 6,839.52 is: 10,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 14,662.80 = 6,839.52 : x
  2. Step 2: Convert to fraction form
    9,792/14,662.80 = 6,839.52/x
  3. Step 3: Cross multiply
    9,792x = 14,662.80 × 6,839.52
  4. Step 4: Simplify right side
    9,792x = 100,286,513.86
  5. Step 5: Solve for x
    x = 100,286,513.86/9,792
  6. Step 6: Final answer
    x = 10,241.68

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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.