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Finding the Fourth Proportional to 4,229.28, 6,335.28 and 1,922.40

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Solution

The fourth proportional to 4,229.28, 6,335.28 and 1,922.40 is: 2,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.28 : 6,335.28 = 1,922.40 : x
  2. Step 2: Convert to fraction form
    4,229.28/6,335.28 = 1,922.40/x
  3. Step 3: Cross multiply
    4,229.28x = 6,335.28 × 1,922.40
  4. Step 4: Simplify right side
    4,229.28x = 12,178,942.27
  5. Step 5: Solve for x
    x = 12,178,942.27/4,229.28
  6. Step 6: Final answer
    x = 2,879.67

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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.