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Finding the Fourth Proportional to 3,029.92, 4,543.79 and 949.30

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Solution

The fourth proportional to 3,029.92, 4,543.79 and 949.30 is: 1,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.92 : 4,543.79 = 949.30 : x
  2. Step 2: Convert to fraction form
    3,029.92/4,543.79 = 949.30/x
  3. Step 3: Cross multiply
    3,029.92x = 4,543.79 × 949.30
  4. Step 4: Simplify right side
    3,029.92x = 4,313,419.85
  5. Step 5: Solve for x
    x = 4,313,419.85/3,029.92
  6. Step 6: Final answer
    x = 1,423.61

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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.