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Finding the Fourth Proportional to 3,140.94, 4,711.37 and 949.69

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Solution

The fourth proportional to 3,140.94, 4,711.37 and 949.69 is: 1,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.94 : 4,711.37 = 949.69 : x
  2. Step 2: Convert to fraction form
    3,140.94/4,711.37 = 949.69/x
  3. Step 3: Cross multiply
    3,140.94x = 4,711.37 × 949.69
  4. Step 4: Simplify right side
    3,140.94x = 4,474,342.12
  5. Step 5: Solve for x
    x = 4,474,342.12/3,140.94
  6. Step 6: Final answer
    x = 1,424.52

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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.