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Finding the Fourth Proportional to 2,643.10, 3,960.53 and 998.75

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Solution

The fourth proportional to 2,643.10, 3,960.53 and 998.75 is: 1,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.10 : 3,960.53 = 998.75 : x
  2. Step 2: Convert to fraction form
    2,643.10/3,960.53 = 998.75/x
  3. Step 3: Cross multiply
    2,643.10x = 3,960.53 × 998.75
  4. Step 4: Simplify right side
    2,643.10x = 3,955,554.54
  5. Step 5: Solve for x
    x = 3,955,554.54/2,643.10
  6. Step 6: Final answer
    x = 1,496.56

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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.