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Finding the Fourth Proportional to 3,290.48, 4,540.98 and 1,965.20

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Solution

The fourth proportional to 3,290.48, 4,540.98 and 1,965.20 is: 2,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.48 : 4,540.98 = 1,965.20 : x
  2. Step 2: Convert to fraction form
    3,290.48/4,540.98 = 1,965.20/x
  3. Step 3: Cross multiply
    3,290.48x = 4,540.98 × 1,965.20
  4. Step 4: Simplify right side
    3,290.48x = 8,923,933.90
  5. Step 5: Solve for x
    x = 8,923,933.90/3,290.48
  6. Step 6: Final answer
    x = 2,712.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.