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Finding the Fourth Proportional to 4,713.66, 7,072.83 and 1,941.21

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Solution

The fourth proportional to 4,713.66, 7,072.83 and 1,941.21 is: 2,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.66 : 7,072.83 = 1,941.21 : x
  2. Step 2: Convert to fraction form
    4,713.66/7,072.83 = 1,941.21/x
  3. Step 3: Cross multiply
    4,713.66x = 7,072.83 × 1,941.21
  4. Step 4: Simplify right side
    4,713.66x = 13,729,848.32
  5. Step 5: Solve for x
    x = 13,729,848.32/4,713.66
  6. Step 6: Final answer
    x = 2,912.78

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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.