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Finding the Fourth Proportional to 1,989.91, 2,982.91 and 949.63

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Solution

The fourth proportional to 1,989.91, 2,982.91 and 949.63 is: 1,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.91 : 2,982.91 = 949.63 : x
  2. Step 2: Convert to fraction form
    1,989.91/2,982.91 = 949.63/x
  3. Step 3: Cross multiply
    1,989.91x = 2,982.91 × 949.63
  4. Step 4: Simplify right side
    1,989.91x = 2,832,660.82
  5. Step 5: Solve for x
    x = 2,832,660.82/1,989.91
  6. Step 6: Final answer
    x = 1,423.51

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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.