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Finding the Fourth Proportional to 6,462.68, 8,919.84 and 3,811

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Solution

The fourth proportional to 6,462.68, 8,919.84 and 3,811 is: 5,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.68 : 8,919.84 = 3,811 : x
  2. Step 2: Convert to fraction form
    6,462.68/8,919.84 = 3,811/x
  3. Step 3: Cross multiply
    6,462.68x = 8,919.84 × 3,811
  4. Step 4: Simplify right side
    6,462.68x = 33,993,510.24
  5. Step 5: Solve for x
    x = 33,993,510.24/6,462.68
  6. Step 6: Final answer
    x = 5,259.97

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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.