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Finding the Fourth Proportional to 1,471.87, 2,031.38 and 949.42

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Solution

The fourth proportional to 1,471.87, 2,031.38 and 949.42 is: 1,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.87 : 2,031.38 = 949.42 : x
  2. Step 2: Convert to fraction form
    1,471.87/2,031.38 = 949.42/x
  3. Step 3: Cross multiply
    1,471.87x = 2,031.38 × 949.42
  4. Step 4: Simplify right side
    1,471.87x = 1,928,628.05
  5. Step 5: Solve for x
    x = 1,928,628.05/1,471.87
  6. Step 6: Final answer
    x = 1,310.32

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1.5x scale

Why These Related Problems?

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