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Finding the Fourth Proportional to 5,161.92, 7,123.20 and 2,923.20

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Solution

The fourth proportional to 5,161.92, 7,123.20 and 2,923.20 is: 4,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.92 : 7,123.20 = 2,923.20 : x
  2. Step 2: Convert to fraction form
    5,161.92/7,123.20 = 2,923.20/x
  3. Step 3: Cross multiply
    5,161.92x = 7,123.20 × 2,923.20
  4. Step 4: Simplify right side
    5,161.92x = 20,822,538.24
  5. Step 5: Solve for x
    x = 20,822,538.24/5,161.92
  6. Step 6: Final answer
    x = 4,033.87

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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.