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Finding the Fourth Proportional to 7,800, 10,764 and 4,489.92

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Solution

The fourth proportional to 7,800, 10,764 and 4,489.92 is: 6,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 10,764 = 4,489.92 : x
  2. Step 2: Convert to fraction form
    7,800/10,764 = 4,489.92/x
  3. Step 3: Cross multiply
    7,800x = 10,764 × 4,489.92
  4. Step 4: Simplify right side
    7,800x = 48,329,498.88
  5. Step 5: Solve for x
    x = 48,329,498.88/7,800
  6. Step 6: Final answer
    x = 6,196.09

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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.