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Finding the Fourth Proportional to 2,829.92, 4,245.09 and 749.87

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Solution

The fourth proportional to 2,829.92, 4,245.09 and 749.87 is: 1,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.92 : 4,245.09 = 749.87 : x
  2. Step 2: Convert to fraction form
    2,829.92/4,245.09 = 749.87/x
  3. Step 3: Cross multiply
    2,829.92x = 4,245.09 × 749.87
  4. Step 4: Simplify right side
    2,829.92x = 3,183,244.41
  5. Step 5: Solve for x
    x = 3,183,244.41/2,829.92
  6. Step 6: Final answer
    x = 1,124.86

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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.