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Finding the Fourth Proportional to 6,856.69, 9,462.81 and 3,872.65

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Solution

The fourth proportional to 6,856.69, 9,462.81 and 3,872.65 is: 5,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.69 : 9,462.81 = 3,872.65 : x
  2. Step 2: Convert to fraction form
    6,856.69/9,462.81 = 3,872.65/x
  3. Step 3: Cross multiply
    6,856.69x = 9,462.81 × 3,872.65
  4. Step 4: Simplify right side
    6,856.69x = 36,646,151.15
  5. Step 5: Solve for x
    x = 36,646,151.15/6,856.69
  6. Step 6: Final answer
    x = 5,344.58

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1.5x scale

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.