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Finding the Fourth Proportional to 3,041, 4,196.58 and 1,643.75

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Solution

The fourth proportional to 3,041, 4,196.58 and 1,643.75 is: 2,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041 : 4,196.58 = 1,643.75 : x
  2. Step 2: Convert to fraction form
    3,041/4,196.58 = 1,643.75/x
  3. Step 3: Cross multiply
    3,041x = 4,196.58 × 1,643.75
  4. Step 4: Simplify right side
    3,041x = 6,898,128.38
  5. Step 5: Solve for x
    x = 6,898,128.38/3,041
  6. Step 6: Final answer
    x = 2,268.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.