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Finding the Fourth Proportional to 10,633.87, 15,940.39 and 3,965.49

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Solution

The fourth proportional to 10,633.87, 15,940.39 and 3,965.49 is: 5,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.87 : 15,940.39 = 3,965.49 : x
  2. Step 2: Convert to fraction form
    10,633.87/15,940.39 = 3,965.49/x
  3. Step 3: Cross multiply
    10,633.87x = 15,940.39 × 3,965.49
  4. Step 4: Simplify right side
    10,633.87x = 63,211,457.14
  5. Step 5: Solve for x
    x = 63,211,457.14/10,633.87
  6. Step 6: Final answer
    x = 5,944.35

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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.