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Finding the Fourth Proportional to 3,296.98, 4,945.46 and 832.00

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Solution

The fourth proportional to 3,296.98, 4,945.46 and 832.00 is: 1,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.98 : 4,945.46 = 832.00 : x
  2. Step 2: Convert to fraction form
    3,296.98/4,945.46 = 832.00/x
  3. Step 3: Cross multiply
    3,296.98x = 4,945.46 × 832.00
  4. Step 4: Simplify right side
    3,296.98x = 4,114,597.99
  5. Step 5: Solve for x
    x = 4,114,597.99/3,296.98
  6. Step 6: Final answer
    x = 1,247.99

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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.