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Finding the Fourth Proportional to 9,767, 13,479 and 5,576.60

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Solution

The fourth proportional to 9,767, 13,479 and 5,576.60 is: 7,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 13,479 = 5,576.60 : x
  2. Step 2: Convert to fraction form
    9,767/13,479 = 5,576.60/x
  3. Step 3: Cross multiply
    9,767x = 13,479 × 5,576.60
  4. Step 4: Simplify right side
    9,767x = 75,166,991.40
  5. Step 5: Solve for x
    x = 75,166,991.40/9,767
  6. Step 6: Final answer
    x = 7,696.02

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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.