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Finding the Fourth Proportional to 5,636.96, 8,456.82 and 1,939.24

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Solution

The fourth proportional to 5,636.96, 8,456.82 and 1,939.24 is: 2,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.96 : 8,456.82 = 1,939.24 : x
  2. Step 2: Convert to fraction form
    5,636.96/8,456.82 = 1,939.24/x
  3. Step 3: Cross multiply
    5,636.96x = 8,456.82 × 1,939.24
  4. Step 4: Simplify right side
    5,636.96x = 16,399,803.62
  5. Step 5: Solve for x
    x = 16,399,803.62/5,636.96
  6. Step 6: Final answer
    x = 2,909.33

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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.