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Finding the Fourth Proportional to 2,148.56, 3,221.76 and 995.12

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Solution

The fourth proportional to 2,148.56, 3,221.76 and 995.12 is: 1,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.56 : 3,221.76 = 995.12 : x
  2. Step 2: Convert to fraction form
    2,148.56/3,221.76 = 995.12/x
  3. Step 3: Cross multiply
    2,148.56x = 3,221.76 × 995.12
  4. Step 4: Simplify right side
    2,148.56x = 3,206,037.81
  5. Step 5: Solve for x
    x = 3,206,037.81/2,148.56
  6. Step 6: Final answer
    x = 1,492.18

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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.