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Finding the Fourth Proportional to 2,643.73, 3,965.60 and 794.99

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Solution

The fourth proportional to 2,643.73, 3,965.60 and 794.99 is: 1,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.73 : 3,965.60 = 794.99 : x
  2. Step 2: Convert to fraction form
    2,643.73/3,965.60 = 794.99/x
  3. Step 3: Cross multiply
    2,643.73x = 3,965.60 × 794.99
  4. Step 4: Simplify right side
    2,643.73x = 3,152,618.28
  5. Step 5: Solve for x
    x = 3,152,618.28/2,643.73
  6. Step 6: Final answer
    x = 1,192.49

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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.