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Finding the Fourth Proportional to 6,768, 10,154.88 and 3,260

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Solution

The fourth proportional to 6,768, 10,154.88 and 3,260 is: 4,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 10,154.88 = 3,260 : x
  2. Step 2: Convert to fraction form
    6,768/10,154.88 = 3,260/x
  3. Step 3: Cross multiply
    6,768x = 10,154.88 × 3,260
  4. Step 4: Simplify right side
    6,768x = 33,104,908.80
  5. Step 5: Solve for x
    x = 33,104,908.80/6,768
  6. Step 6: Final answer
    x = 4,891.39

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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.