Home / 5,760-8,645.76-4,204.80

Finding the Fourth Proportional to 5,760, 8,645.76 and 4,204.80

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Solution

The fourth proportional to 5,760, 8,645.76 and 4,204.80 is: 6,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 8,645.76 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    5,760/8,645.76 = 4,204.80/x
  3. Step 3: Cross multiply
    5,760x = 8,645.76 × 4,204.80
  4. Step 4: Simplify right side
    5,760x = 36,353,691.65
  5. Step 5: Solve for x
    x = 36,353,691.65/5,760
  6. Step 6: Final answer
    x = 6,311.40

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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.