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Finding the Fourth Proportional to 4,123, 5,687.22 and 2,945.68

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Solution

The fourth proportional to 4,123, 5,687.22 and 2,945.68 is: 4,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123 : 5,687.22 = 2,945.68 : x
  2. Step 2: Convert to fraction form
    4,123/5,687.22 = 2,945.68/x
  3. Step 3: Cross multiply
    4,123x = 5,687.22 × 2,945.68
  4. Step 4: Simplify right side
    4,123x = 16,752,730.21
  5. Step 5: Solve for x
    x = 16,752,730.21/4,123
  6. Step 6: Final answer
    x = 4,063.24

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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.