Home / 4,190-6,286.92-1,592.72

Finding the Fourth Proportional to 4,190, 6,286.92 and 1,592.72

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Solution

The fourth proportional to 4,190, 6,286.92 and 1,592.72 is: 2,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 6,286.92 = 1,592.72 : x
  2. Step 2: Convert to fraction form
    4,190/6,286.92 = 1,592.72/x
  3. Step 3: Cross multiply
    4,190x = 6,286.92 × 1,592.72
  4. Step 4: Simplify right side
    4,190x = 10,013,303.22
  5. Step 5: Solve for x
    x = 10,013,303.22/4,190
  6. Step 6: Final answer
    x = 2,389.81

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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.