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Finding the Fourth Proportional to 3,140.72, 4,711.80 and 949.44

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Solution

The fourth proportional to 3,140.72, 4,711.80 and 949.44 is: 1,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.72 : 4,711.80 = 949.44 : x
  2. Step 2: Convert to fraction form
    3,140.72/4,711.80 = 949.44/x
  3. Step 3: Cross multiply
    3,140.72x = 4,711.80 × 949.44
  4. Step 4: Simplify right side
    3,140.72x = 4,473,571.39
  5. Step 5: Solve for x
    x = 4,473,571.39/3,140.72
  6. Step 6: Final answer
    x = 1,424.38

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1.5x scale

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.