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Finding the Fourth Proportional to 3,309.54, 4,964.30 and 844.35

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Solution

The fourth proportional to 3,309.54, 4,964.30 and 844.35 is: 1,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.54 : 4,964.30 = 844.35 : x
  2. Step 2: Convert to fraction form
    3,309.54/4,964.30 = 844.35/x
  3. Step 3: Cross multiply
    3,309.54x = 4,964.30 × 844.35
  4. Step 4: Simplify right side
    3,309.54x = 4,191,591.78
  5. Step 5: Solve for x
    x = 4,191,591.78/3,309.54
  6. Step 6: Final answer
    x = 1,266.52

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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.