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Finding the Fourth Proportional to 5,662.83, 8,493.10 and 1,965.21

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Solution

The fourth proportional to 5,662.83, 8,493.10 and 1,965.21 is: 2,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.83 : 8,493.10 = 1,965.21 : x
  2. Step 2: Convert to fraction form
    5,662.83/8,493.10 = 1,965.21/x
  3. Step 3: Cross multiply
    5,662.83x = 8,493.10 × 1,965.21
  4. Step 4: Simplify right side
    5,662.83x = 16,690,747.12
  5. Step 5: Solve for x
    x = 16,690,747.12/5,662.83
  6. Step 6: Final answer
    x = 2,947.42

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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.