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Finding the Fourth Proportional to 2,091.64, 3,135.42 and 995.71

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Solution

The fourth proportional to 2,091.64, 3,135.42 and 995.71 is: 1,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.64 : 3,135.42 = 995.71 : x
  2. Step 2: Convert to fraction form
    2,091.64/3,135.42 = 995.71/x
  3. Step 3: Cross multiply
    2,091.64x = 3,135.42 × 995.71
  4. Step 4: Simplify right side
    2,091.64x = 3,121,969.05
  5. Step 5: Solve for x
    x = 3,121,969.05/2,091.64
  6. Step 6: Final answer
    x = 1,492.59

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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.