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Finding the Fourth Proportional to 3,142.37, 4,713.69 and 1,293.82

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Solution

The fourth proportional to 3,142.37, 4,713.69 and 1,293.82 is: 1,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.37 : 4,713.69 = 1,293.82 : x
  2. Step 2: Convert to fraction form
    3,142.37/4,713.69 = 1,293.82/x
  3. Step 3: Cross multiply
    3,142.37x = 4,713.69 × 1,293.82
  4. Step 4: Simplify right side
    3,142.37x = 6,098,666.40
  5. Step 5: Solve for x
    x = 6,098,666.40/3,142.37
  6. Step 6: Final answer
    x = 1,940.79

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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.