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Finding the Fourth Proportional to 3,073.94, 4,240.78 and 2,142.98

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Solution

The fourth proportional to 3,073.94, 4,240.78 and 2,142.98 is: 2,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.94 : 4,240.78 = 2,142.98 : x
  2. Step 2: Convert to fraction form
    3,073.94/4,240.78 = 2,142.98/x
  3. Step 3: Cross multiply
    3,073.94x = 4,240.78 × 2,142.98
  4. Step 4: Simplify right side
    3,073.94x = 9,087,880.16
  5. Step 5: Solve for x
    x = 9,087,880.16/3,073.94
  6. Step 6: Final answer
    x = 2,956.43

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