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Finding the Fourth Proportional to 2,197.82, 3,296.77 and 964.98

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Solution

The fourth proportional to 2,197.82, 3,296.77 and 964.98 is: 1,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.82 : 3,296.77 = 964.98 : x
  2. Step 2: Convert to fraction form
    2,197.82/3,296.77 = 964.98/x
  3. Step 3: Cross multiply
    2,197.82x = 3,296.77 × 964.98
  4. Step 4: Simplify right side
    2,197.82x = 3,181,317.11
  5. Step 5: Solve for x
    x = 3,181,317.11/2,197.82
  6. Step 6: Final answer
    x = 1,447.49

Related Problems

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Double scale
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Similar ratio
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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.