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Finding the Fourth Proportional to 2,142.80, 3,196.12 and 1,954.16

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Solution

The fourth proportional to 2,142.80, 3,196.12 and 1,954.16 is: 2,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,196.12 = 1,954.16 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,196.12 = 1,954.16/x
  3. Step 3: Cross multiply
    2,142.80x = 3,196.12 × 1,954.16
  4. Step 4: Simplify right side
    2,142.80x = 6,245,729.86
  5. Step 5: Solve for x
    x = 6,245,729.86/2,142.80
  6. Step 6: Final answer
    x = 2,914.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.