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Finding the Fourth Proportional to 6,891.87, 10,276.06 and 6,767.49

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Solution

The fourth proportional to 6,891.87, 10,276.06 and 6,767.49 is: 10,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.87 : 10,276.06 = 6,767.49 : x
  2. Step 2: Convert to fraction form
    6,891.87/10,276.06 = 6,767.49/x
  3. Step 3: Cross multiply
    6,891.87x = 10,276.06 × 6,767.49
  4. Step 4: Simplify right side
    6,891.87x = 69,543,133.29
  5. Step 5: Solve for x
    x = 69,543,133.29/6,891.87
  6. Step 6: Final answer
    x = 10,090.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.