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Finding the Fourth Proportional to 6,841.68, 10,216.90 and 6,768.56

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Solution

The fourth proportional to 6,841.68, 10,216.90 and 6,768.56 is: 10,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.68 : 10,216.90 = 6,768.56 : x
  2. Step 2: Convert to fraction form
    6,841.68/10,216.90 = 6,768.56/x
  3. Step 3: Cross multiply
    6,841.68x = 10,216.90 × 6,768.56
  4. Step 4: Simplify right side
    6,841.68x = 69,153,700.66
  5. Step 5: Solve for x
    x = 69,153,700.66/6,841.68
  6. Step 6: Final answer
    x = 10,107.71

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1.5x scale

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.