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Finding the Fourth Proportional to 1,645.36, 2,467.96 and 995.92

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Solution

The fourth proportional to 1,645.36, 2,467.96 and 995.92 is: 1,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.36 : 2,467.96 = 995.92 : x
  2. Step 2: Convert to fraction form
    1,645.36/2,467.96 = 995.92/x
  3. Step 3: Cross multiply
    1,645.36x = 2,467.96 × 995.92
  4. Step 4: Simplify right side
    1,645.36x = 2,457,890.72
  5. Step 5: Solve for x
    x = 2,457,890.72/1,645.36
  6. Step 6: Final answer
    x = 1,493.83

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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.