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Finding the Fourth Proportional to 6,856.93, 9,462.57 and 3,872.77

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Solution

The fourth proportional to 6,856.93, 9,462.57 and 3,872.77 is: 5,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.93 : 9,462.57 = 3,872.77 : x
  2. Step 2: Convert to fraction form
    6,856.93/9,462.57 = 3,872.77/x
  3. Step 3: Cross multiply
    6,856.93x = 9,462.57 × 3,872.77
  4. Step 4: Simplify right side
    6,856.93x = 36,646,357.22
  5. Step 5: Solve for x
    x = 36,646,357.22/6,856.93
  6. Step 6: Final answer
    x = 5,344.43

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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.