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Finding the Fourth Proportional to 3,142.13, 4,713.20 and 950.75

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Solution

The fourth proportional to 3,142.13, 4,713.20 and 950.75 is: 1,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.13 : 4,713.20 = 950.75 : x
  2. Step 2: Convert to fraction form
    3,142.13/4,713.20 = 950.75/x
  3. Step 3: Cross multiply
    3,142.13x = 4,713.20 × 950.75
  4. Step 4: Simplify right side
    3,142.13x = 4,481,074.90
  5. Step 5: Solve for x
    x = 4,481,074.90/3,142.13
  6. Step 6: Final answer
    x = 1,426.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.