Home / 4,122.71-6,184-1,311.54

Finding the Fourth Proportional to 4,122.71, 6,184 and 1,311.54

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Solution

The fourth proportional to 4,122.71, 6,184 and 1,311.54 is: 1,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.71 : 6,184 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    4,122.71/6,184 = 1,311.54/x
  3. Step 3: Cross multiply
    4,122.71x = 6,184 × 1,311.54
  4. Step 4: Simplify right side
    4,122.71x = 8,110,563.36
  5. Step 5: Solve for x
    x = 8,110,563.36/4,122.71
  6. Step 6: Final answer
    x = 1,967.29

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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.