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Finding the Fourth Proportional to 5,646.77, 8,471.63 and 2,136.80

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Solution

The fourth proportional to 5,646.77, 8,471.63 and 2,136.80 is: 3,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.77 : 8,471.63 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    5,646.77/8,471.63 = 2,136.80/x
  3. Step 3: Cross multiply
    5,646.77x = 8,471.63 × 2,136.80
  4. Step 4: Simplify right side
    5,646.77x = 18,102,189.48
  5. Step 5: Solve for x
    x = 18,102,189.48/5,646.77
  6. Step 6: Final answer
    x = 3,205.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.