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Finding the Fourth Proportional to 3,123.91, 4,311 and 1,797.59

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Solution

The fourth proportional to 3,123.91, 4,311 and 1,797.59 is: 2,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.91 : 4,311 = 1,797.59 : x
  2. Step 2: Convert to fraction form
    3,123.91/4,311 = 1,797.59/x
  3. Step 3: Cross multiply
    3,123.91x = 4,311 × 1,797.59
  4. Step 4: Simplify right side
    3,123.91x = 7,749,410.49
  5. Step 5: Solve for x
    x = 7,749,410.49/3,123.91
  6. Step 6: Final answer
    x = 2,480.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.