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Finding the Fourth Proportional to 7,800, 11,705.46 and 3,418.80

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Solution

The fourth proportional to 7,800, 11,705.46 and 3,418.80 is: 5,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,705.46 = 3,418.80 : x
  2. Step 2: Convert to fraction form
    7,800/11,705.46 = 3,418.80/x
  3. Step 3: Cross multiply
    7,800x = 11,705.46 × 3,418.80
  4. Step 4: Simplify right side
    7,800x = 40,018,626.65
  5. Step 5: Solve for x
    x = 40,018,626.65/7,800
  6. Step 6: Final answer
    x = 5,130.59

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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.