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Finding the Fourth Proportional to 3,297.70, 4,945.64 and 1,349.50

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Solution

The fourth proportional to 3,297.70, 4,945.64 and 1,349.50 is: 2,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.70 : 4,945.64 = 1,349.50 : x
  2. Step 2: Convert to fraction form
    3,297.70/4,945.64 = 1,349.50/x
  3. Step 3: Cross multiply
    3,297.70x = 4,945.64 × 1,349.50
  4. Step 4: Simplify right side
    3,297.70x = 6,674,141.18
  5. Step 5: Solve for x
    x = 6,674,141.18/3,297.70
  6. Step 6: Final answer
    x = 2,023.88

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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.