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Finding the Fourth Proportional to 3,296.08, 4,943.76 and 830.90

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Solution

The fourth proportional to 3,296.08, 4,943.76 and 830.90 is: 1,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.08 : 4,943.76 = 830.90 : x
  2. Step 2: Convert to fraction form
    3,296.08/4,943.76 = 830.90/x
  3. Step 3: Cross multiply
    3,296.08x = 4,943.76 × 830.90
  4. Step 4: Simplify right side
    3,296.08x = 4,107,770.18
  5. Step 5: Solve for x
    x = 4,107,770.18/3,296.08
  6. Step 6: Final answer
    x = 1,246.26

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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.