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Finding the Fourth Proportional to 2,943.60, 4,415.37 and 995.79

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Solution

The fourth proportional to 2,943.60, 4,415.37 and 995.79 is: 1,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.60 : 4,415.37 = 995.79 : x
  2. Step 2: Convert to fraction form
    2,943.60/4,415.37 = 995.79/x
  3. Step 3: Cross multiply
    2,943.60x = 4,415.37 × 995.79
  4. Step 4: Simplify right side
    2,943.60x = 4,396,781.29
  5. Step 5: Solve for x
    x = 4,396,781.29/2,943.60
  6. Step 6: Final answer
    x = 1,493.67

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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.