Home / 3,930-5,423.40-2,161.77

Finding the Fourth Proportional to 3,930, 5,423.40 and 2,161.77

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Solution

The fourth proportional to 3,930, 5,423.40 and 2,161.77 is: 2,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930 : 5,423.40 = 2,161.77 : x
  2. Step 2: Convert to fraction form
    3,930/5,423.40 = 2,161.77/x
  3. Step 3: Cross multiply
    3,930x = 5,423.40 × 2,161.77
  4. Step 4: Simplify right side
    3,930x = 11,724,143.42
  5. Step 5: Solve for x
    x = 11,724,143.42/3,930
  6. Step 6: Final answer
    x = 2,983.24

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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.